Team Comparisons

In [1]:
import csv
import numpy as np
import pandas as pd
from sklearn.linear_model import LogisticRegression

Import Data

In [2]:
Stats = []
with open('TI9.csv', newline = '') as csvfile:
    spamreader = csv.reader(csvfile, delimiter = ',', quotechar='|')
    for row in spamreader:
        Stats.append(row)

Games Array

In [3]:
Team1 = []
Team2 = []
Winner = []
i = 0
for game in Stats:
    if i == 0:
        i += 1
    else:
        Team1.append(Stats[i][1])
        Team2.append(Stats[i][4])
        Winner.append(Stats[i][7])
        i += 1

Total Wins per team

In [4]:
Teamlist = ['OG','Team Liquid', 'PSG.LGD','Team Secret','Vici Gaming','Evil Geniuses','Royal Never Give Up','Infamous Gaming', 'Newbee', 'TNC Predator','Virtus.pro','Fnatic','Alliance','Mineski','Natus Vincere', 'Chaos Esports Club', 'KEEN GAMING', 'Ninjas in Pyjamas']


wij = np.zeros((len(Teamlist), len(Teamlist)))


wincounts = []
for x in Teamlist:
    wincounts.append(Winner.count(x))

Wins i vs j matrix

In [5]:
binWins = np.zeros(len(Winner))
for i in range(len(Winner)):
    if Winner[i] == Team1[i]:
        binWins[i] = 1

d = {'Radiant':Team1, 'Dire':Team2, 'Winner':binWins}

index_dict = {'OG':0,'Team Liquid':1,'PSG.LGD':2,'Team Secret':3,'Vici Gaming':4,'Evil Geniuses':5,'Royal Never Give Up':6,'Infamous Gaming':7,'Newbee':8,'TNC Predator':9,'Virtus.pro':10,'Fnatic':11,'Alliance':12,'Mineski':13,'Natus Vincere':14,'Chaos Esports Club':15,'KEEN GAMING':16,'Ninjas in Pyjamas':17}

games = pd.DataFrame(data = d)

Wi = pd.DataFrame(np.array([wincounts]), columns = Teamlist)
    
np.array(wincounts)


for n in range(len(games.loc[:,'Radiant'])):
    i = games.loc[n,'Radiant']
    j = games.loc[n,'Dire']
    if games.loc[n,'Winner'] == i:
        wij[index_dict[i],index_dict[j]] += 1
    else:
        wij[index_dict[j],index_dict[i]] += 1

To implement the Bradley Terry Model as a GLM we will be relying on the logistic model for binomially distributed data as implemented by Jamil, 2010 such that logit(p(i>j))= log(p(i>j)/(1-p_(i>j)) = lamda_i - lambda_j

Model Matrix

From here we should be able to apply the logit model as we have pij, X and unknowns lambda where logit[pij] = X*Lambda

Our inputs are clearly 2 teams with an output vector as 0 or 1 depending whether team 1 or team 2 wins

Lets do some quick Data fixing on our existing design and response matrixes

In [6]:
"""Number of teams"""
k = len(Teamlist)
N = len(Winner)
X = np.zeros((N,k))


def designMatrix(data, index_dict):
    """ Creates a design matrix for standard Bradley Terry Model"""
    N = len(data.index)
    k = len(index_dict.keys())
    X = np.zeros((N,k))
    gameNumber = 0
    for index, row in data.iterrows():
        X[gameNumber][index_dict[row[0]]] = 1
        X[gameNumber][index_dict[row[1]]] = -1
        gameNumber +=1
    return(X)

gameNumber = 0
for index, row in games.iterrows():
    X[gameNumber][index_dict[row['Radiant']]] = 1
    X[gameNumber][index_dict[row['Dire']]] = -1
    gameNumber+= 1
    
def BTfit(X, Y, Teamlist, tol):
    N = len(Y)
    k = len(Teamlist)
    X = np.matrix(X)
    Xt = np.matrix.transpose(X)
    XXt = np.dot(X,Xt)
    Y = np.matrix(Y)
    Y = np.matrix.transpose(Y)
    rankings = np.matrix(np.random.rand(k,1))
    tol = 1
    t = 0
    while tol > 0.00001:
        p = np.exp(np.dot(X,rankings))/(1+np.exp(np.dot(X,rankings)))
        gradient = np.matrix(np.zeros((1,k)))
        hessian = 0
        for i in range(N):
            gradient += np.multiply(X[i],Y[i]) - np.multiply(X[i],p[i])
            hessian += XXt.item((i,i))*p[i]*(1-p[i])
    
        
        oldrankings = np.matrix.transpose(rankings)
        rankings = oldrankings + (1/hessian)*gradient
    
        tol = np.dot(rankings-oldrankings, np.matrix.transpose(rankings-oldrankings))
        rankings = np.matrix.transpose(rankings)
        
    ranks = np.asarray(rankings)
    ranks = np.ndarray.tolist(ranks)
    data = {"Teams":Teamlist, "Ranks":ranks}
    Teamskills = pd.DataFrame(data)
    return(Teamskills)
    
test = designMatrix(games, index_dict)
test2 = BTfit(test, binWins, Teamlist,1)
print(test2)
    
X = np.matrix(X)
Xt = np.matrix.transpose(X)
XXt = np.dot(X,Xt)
Y = np.matrix(binWins)
Y = np.matrix.transpose(Y)
rankings = np.matrix(np.random.rand(k,1))
tol = 1.

                  Teams                    Ranks
0                    OG      [2.223996417056659]
1           Team Liquid     [1.1851946232385056]
2               PSG.LGD     [1.8624231844507013]
3           Team Secret     [1.2566211033352124]
4           Vici Gaming     [0.8380030726948385]
5         Evil Geniuses     [0.7229158158587453]
6   Royal Never Give Up    [0.08927987406495086]
7       Infamous Gaming    [0.22901577402618373]
8                Newbee     [0.5977639705022241]
9          TNC Predator     [0.6097167514732124]
10           Virtus.pro   [0.016966445956320273]
11               Fnatic   [0.018737803680874607]
12             Alliance    [0.47173001026991573]
13              Mineski     [0.6843801001655441]
14        Natus Vincere  [-0.005957517440294585]
15   Chaos Esports Club    [-0.7721866523994098]
16          KEEN GAMING   [-0.26450057050030346]
17    Ninjas in Pyjamas     [-1.026936522257683]
In [7]:
while tol > 0.00001:
    p = np.exp(np.dot(X,rankings))/(1+np.exp(np.dot(X,rankings)))
    gradient = np.matrix(np.zeros((1,k)))
    hessian = 0
    for i in range(N):
        gradient += np.multiply(X[i],Y[i]) - np.multiply(X[i],p[i])
        hessian += XXt.item((i,i))*p[i]*(1-p[i])
        
    oldrankings = np.matrix.transpose(rankings)
    rankings = oldrankings + (1/hessian)*gradient
    
    tol = np.dot(rankings-oldrankings, np.matrix.transpose(rankings-oldrankings))
    rankings = np.matrix.transpose(rankings)
In [ ]:

Hero Ratings

In [8]:
heroes1 = []
heroes2 = []
i = 0
for game in Stats:
    if i == 0:
        i += 1
    else:
        heroes1.append(Stats[i][2])
        heroes2.append(Stats[i][5])
        i += 1
In [9]:
heroes1
Out[9]:
['Io  Tiny  Abaddon  Timbersaw  Gyrocopter',
 'Rubick  Tidehunter  Ogre Magi  Templar Assassin  Juggernaut',
 'Tidehunter  Templar Assassin  Shadow Shaman  Lifestealer  Enigma',
 'Tidehunter  Chen  Rubick  Templar Assassin  Meepo',
 'Elder Titan  Rubick  Faceless Void  Shadow Fiend  Dark Seer',
 'Elder Titan  Rubick  Sven  Dark Seer  Templar Assassin',
 'Tiny  Faceless Void  Mirana  Tinker  Shadow Demon',
 'Elder Titan  Rubick  Magnus  Wraith King  Bristleback',
 'Chen  Tidehunter  Earth Spirit  Leshrac  Meepo',
 'Chen  Alchemist  Tidehunter  Rubick  Legion Commander',
 'Shadow Demon  Sand King  Jakiro  Sven  Dragon Knight',
 "Elder Titan  Faceless Void  Pangolier  Nature's Prophet  Zeus",
 'Tiny  Omniknight  Windranger  Crystal Maiden  Bristleback',
 'Leshrac  Tidehunter  Lion  Earth Spirit  Medusa',
 'Elder Titan  Alchemist  Rubick  Ember Spirit  Dark Seer',
 'Mirana  Ogre Magi  Tidehunter  Faceless Void  Tinker',
 'Tiny  Faceless Void  Witch Doctor  Enigma  Abaddon',
 'Magnus  Shadow Shaman  Silencer  Phantom Lancer  Riki',
 'Ancient Apparition  Sand King  Tiny  Rubick  Arc Warden',
 'Abaddon  Ember Spirit  Mirana  Centaur Warrunner  Lifestealer',
 'Enchantress  Invoker  Rubick  Juggernaut  Sand King',
 'Enchantress  Earthshaker  Faceless Void  Tiny  Oracle',
 'Enchantress  Earth Spirit  Crystal Maiden  Terrorblade  Lina',
 'Mirana  Sand King  Sven  Lion  Necrophos',
 'Leshrac  Shadow Shaman  Warlock  Wraith King  Abaddon',
 'Ogre Magi  Wraith King  Ancient Apparition  Shadow Shaman  Death Prophet',
 'Enchantress  Tiny  Witch Doctor  Faceless Void  Lina',
 'Mirana  Wraith King  Witch Doctor  Omniknight  Alchemist',
 'Tidehunter  Invoker  Elder Titan  Lifestealer  Kunkka',
 'Kunkka  Nyx Assassin  Oracle  Brewmaster  Juggernaut',
 'Leshrac  Elder Titan  Axe  Shadow Shaman  Sven',
 'Shadow Demon  Leshrac  Rubick  Underlord  Anti-Mage',
 'Shadow Demon  Mirana  Kunkka  Wraith King  Batrider',
 'Shadow Demon  Leshrac  Elder Titan  Faceless Void  Omniknight',
 'Shadow Demon  Alchemist  Leshrac  Abaddon  Shadow Shaman',
 'Mirana  Sand King  Ogre Magi  Slark  Weaver',
 'Shadow Demon  Leshrac  Tidehunter  Rubick  Sven',
 'Enchantress  Earthshaker  Chen  Tiny  Wraith King',
 'Enchantress  Shadow Demon  Earthshaker  Ember Spirit  Sven',
 'Visage  Tiny  Beastmaster  Grimstroke  Lifestealer',
 'Warlock  Earth Spirit  Beastmaster  Sven  Sniper',
 'Phantom Assassin  Witch Doctor  Kunkka  Rubick  Omniknight',
 'Io  Gyrocopter  Tidehunter  Shadow Shaman  Necrophos',
 'Leshrac  Abaddon  Shadow Demon  Ember Spirit  Anti-Mage',
 'Earthshaker  Grimstroke  Juggernaut  Tiny  Broodmother',
 'Ancient Apparition  Tiny  Bristleback  Earthshaker  Razor',
 'Ancient Apparition  Sand King  Tiny  Lifestealer  Queen of Pain',
 'Elder Titan  Gyrocopter  Lion  Pangolier  Terrorblade',
 'Tidehunter  Rubick  Gyrocopter  Ogre Magi  Sven',
 'Omniknight  Invoker  Gyrocopter  Elder Titan  Winter Wyvern',
 'Windranger  Tiny  Elder Titan  Gyrocopter  Ember Spirit',
 'Alchemist  Abaddon  Crystal Maiden  Tiny  Mirana',
 'Ogre Magi  Warlock  Mars  Pugna  Monkey King',
 'Elder Titan  Leshrac  Wraith King  Puck  Mars',
 'Lina  Ogre Magi  Lich  Juggernaut  Batrider',
 'Elder Titan  Ember Spirit  Ogre Magi  Visage  Shadow Fiend',
 'Ancient Apparition  Sven  Earthshaker  Death Prophet  Enchantress',
 'Ancient Apparition  Storm Spirit  Shadow Shaman  Ogre Magi  Juggernaut',
 'Crystal Maiden  Bristleback  Storm Spirit  Axe  Morphling',
 'Warlock  Axe  Tidehunter  Storm Spirit  Alchemist',
 'Invoker  Legion Commander  Techies  Jakiro  Slark',
 'Invoker  Ogre Magi  Kunkka  Slark  Outworld Devourer',
 'Kunkka  Crystal Maiden  Enchantress  Storm Spirit  Drow Ranger',
 'Shadow Demon  Wraith King  Beastmaster  Windranger  Tinker',
 'Mars  Skywrath Mage  Dark Willow  Bristleback  Gyrocopter',
 'Leshrac  Abaddon  Warlock  Storm Spirit  Wraith King',
 'Sand King  Shadow Demon  Lina  Gyrocopter  Outworld Devourer',
 'Gyrocopter  Naga Siren  Undying  Sand King  Earth Spirit',
 'Rubick  Beastmaster  Witch Doctor  Wraith King  Meepo',
 'Enchantress  Lifestealer  Ancient Apparition  Earthshaker  Pugna',
 'Alchemist  Shadow Demon  Dark Willow  Centaur Warrunner  Queen of Pain',
 'Elder Titan  Razor  Grimstroke  Batrider  Slark',
 'Silencer  Tiny  Broodmother  Leshrac  Juggernaut',
 'Invoker  Kunkka  Jakiro  Spectre  Axe',
 'Ember Spirit  Elder Titan  Crystal Maiden  Enigma  Tinker',
 'Invoker  Tiny  Crystal Maiden  Slark  Pudge',
 'Elder Titan  Gyrocopter  Invoker  Tiny  Axe',
 'Tiny  Ogre Magi  Silencer  Faceless Void  Lina',
 'Elder Titan  Crystal Maiden  Ember Spirit  Timbersaw  Morphling',
 'Mirana  Kunkka  Warlock  Sven  Axe',
 'Witch Doctor  Tiny  Phantom Assassin  Pangolier  Magnus',
 'Ogre Magi  Lina  Sven  Grimstroke  Clinkz',
 'Magnus  Crystal Maiden  Bloodseeker  Ember Spirit  Zeus',
 'Tidehunter  Elder Titan  Shadow Shaman  Gyrocopter  Underlord',
 'Mirana  Outworld Devourer  Lich  Slark  Abaddon',
 'Silencer  Tiny  Kunkka  Chaos Knight  Beastmaster',
 'Enchantress  Warlock  Earth Spirit  Spectre  Viper',
 'Ogre Magi  Shadow Demon  Tidehunter  Lifestealer  Kunkka',
 'Shadow Demon  Kunkka  Lina  Beastmaster  Templar Assassin',
 'Chen  Lina  Earthshaker  Arc Warden  Grimstroke',
 'Oracle  Death Prophet  Dark Willow  Axe  Alchemist',
 "Warlock  Shadow Shaman  Alchemist  Nature's Prophet  Queen of Pain",
 'Ogre Magi  Ancient Apparition  Wraith King  Invoker  Tiny',
 'Beastmaster  Shadow Demon  Mirana  Ember Spirit  Timbersaw',
 'Chen  Ogre Magi  Sven  Batrider  Templar Assassin',
 'Mirana  Kunkka  Bane  Morphling  Slardar',
 'Enchantress  Pangolier  Elder Titan  Ember Spirit  Gyrocopter',
 'Shadow Demon  Leshrac  Lina  Tidehunter  Dragon Knight',
 'Alchemist  Witch Doctor  Rubick  Omniknight  Shadow Fiend',
 'Kunkka  Ancient Apparition  Slardar  Wraith King  Nyx Assassin',
 'Crystal Maiden  Tiny  Leshrac  Naga Siren  Timbersaw',
 'Omniknight  Leshrac  Ancient Apparition  Sven  Grimstroke',
 'Mirana  Slark  Warlock  Outworld Devourer  Beastmaster',
 'Ancient Apparition  Tiny  Shadow Shaman  Naga Siren  Enchantress',
 'Nyx Assassin  Kunkka  Grimstroke  Slardar  Huskar',
 'Centaur Warrunner  Dark Willow  Timbersaw  Morphling  Tiny',
 'Ogre Magi  Lifestealer  Magnus  Templar Assassin  Batrider',
 'Tidehunter  Rubick  Gyrocopter  Bane  Terrorblade',
 'Shadow Demon  Death Prophet  Earth Spirit  Juggernaut  Enigma',
 'Crystal Maiden  Omniknight  Gyrocopter  Enigma  Dragon Knight',
 'Gyrocopter  Chen  Axe  Rubick  Anti-Mage',
 'Kunkka  Ancient Apparition  Shadow Shaman  Phantom Assassin  Abaddon',
 'Ogre Magi  Grimstroke  Lich  Faceless Void  Sniper',
 'Leshrac  Lifestealer  Chen  Sand King  Earth Spirit',
 'Shadow Demon  Alchemist  Jakiro  Kunkka  Sand King',
 'Ancient Apparition  Alchemist  Earth Spirit  Kunkka  Queen of Pain',
 'Ogre Magi  Mirana  Warlock  Sven  Meepo',
 'Ogre Magi  Magnus  Lion  Troll Warlord  Kunkka',
 'Jakiro  Earthshaker  Timbersaw  Lifestealer  Lina',
 'Ancient Apparition  Sand King  Ember Spirit  Pangolier  Medusa',
 'Ogre Magi  Mirana  Gyrocopter  Sand King  Invoker',
 'Ogre Magi  Mirana  Alchemist  Omniknight  Timbersaw',
 'Enchantress  Crystal Maiden  Ember Spirit  Magnus  Juggernaut',
 'Crystal Maiden  Pudge  Oracle  Death Prophet  Morphling',
 'Mirana  Ogre Magi  Warlock  Slark  Shadow Fiend',
 'Elder Titan  Gyrocopter  Ember Spirit  Magnus  Batrider',
 "Elder Titan  Ember Spirit  Pugna  Nature's Prophet  Drow Ranger",
 'Kunkka  Ancient Apparition  Rubick  Queen of Pain  Phantom Assassin',
 'Elder Titan  Sand King  Gyrocopter  Rubick  Death Prophet',
 'Ancient Apparition  Razor  Earth Spirit  Axe  Bloodseeker',
 'Ogre Magi  Ember Spirit  Tidehunter  Witch Doctor  Anti-Mage',
 'Elder Titan  Shadow Shaman  Omniknight  Faceless Void  Sniper',
 'Mirana  Ogre Magi  Lion  Lone Druid  Wraith King',
 'Leshrac  Abaddon  Crystal Maiden  Lifestealer  Kunkka',
 'Mirana  Elder Titan  Slark  Sand King  Batrider',
 'Tidehunter  Elder Titan  Vengeful Spirit  Leshrac  Arc Warden',
 'Elder Titan  Shadow Demon  Centaur Warrunner  Slark  Invoker',
 'Dark Willow  Ancient Apparition  Sand King  Broodmother  Faceless Void',
 'Beastmaster  Elder Titan  Shadow Shaman  Leshrac  Templar Assassin',
 'Chen  Grimstroke  Tiny  Outworld Devourer  Broodmother',
 'Ogre Magi  Gyrocopter  Crystal Maiden  Invoker  Sven',
 'Rubick  Centaur Warrunner  Warlock  Ember Spirit  Terrorblade',
 'Alchemist  Oracle  Tiny  Ember Spirit  Batrider',
 'Sven  Ancient Apparition  Treant Protector  Timbersaw  Death Prophet',
 'Visage  Sven  Crystal Maiden  Sand King  Ember Spirit',
 'Ogre Magi  Gyrocopter  Shadow Shaman  Tidehunter  Lina',
 'Enchantress  Alchemist  Earth Spirit  Dazzle  Warlock',
 'Omniknight  Slark  Lich  Death Prophet  Shadow Shaman',
 'Magnus  Juggernaut  Grimstroke  Pugna  Earthshaker',
 'Alchemist  Oracle  Elder Titan  Sand King  Broodmother',
 'Shadow Demon  Leshrac  Sand King  Naga Siren  Shadow Fiend',
 'Chen  Alchemist  Grimstroke  Ember Spirit  Sand King',
 'Ogre Magi  Enchantress  Earthshaker  Morphling  Razor',
 'Elder Titan  Grimstroke  Gyrocopter  Earthshaker  Arc Warden',
 'Shadow Demon  Abaddon  Rubick  Naga Siren  Tiny',
 'Disruptor  Beastmaster  Tiny  Weaver  Invoker',
 'Mirana  Chen  Earthshaker  Ember Spirit  Bristleback',
 'Mars  Phoenix  Bane  Phantom Assassin  Dragon Knight',
 'Omniknight  Tusk  Puck  Bloodseeker  Meepo',
 'Elder Titan  Enchantress  Shadow Shaman  Pudge  Arc Warden',
 'Alchemist  Chen  Lina  Ember Spirit  Centaur Warrunner',
 'Elder Titan  Tidehunter  Lina  Gyrocopter  Storm Spirit',
 'Shadow Demon  Sand King  Silencer  Spectre  Dragon Knight',
 'Ogre Magi  Shadow Shaman  Centaur Warrunner  Gyrocopter  Storm Spirit',
 'Magnus  Invoker  Oracle  Slark  Tiny',
 'Io  Luna  Bane  Axe  Invoker',
 'Enchantress  Alchemist  Warlock  Razor  Earth Spirit',
 'Io  Gyrocopter  Crystal Maiden  Beastmaster  Storm Spirit',
 'Tiny  Silencer  Jakiro  Queen of Pain  Wraith King',
 'Mirana  Wraith King  Grimstroke  Enigma  Tiny',
 'Enchantress  Warlock  Tiny  Morphling  Puck',
 "Nature's Prophet  Kunkka  Mirana  Storm Spirit  Meepo",
 'Crystal Maiden  Naga Siren  Dark Willow  Ogre Magi  Slark',
 'Shadow Shaman  Tiny  Enchantress  Naga Siren  Zeus',
 'Ancient Apparition  Kunkka  Grimstroke  Alchemist  Abaddon',
 'Elder Titan  Sand King  Shadow Demon  Templar Assassin  Leshrac',
 'Shadow Demon  Lion  Outworld Devourer  Axe  Faceless Void',
 'Treant Protector  Ancient Apparition  Sven  Legion Commander  Viper',
 'Mirana  Oracle  Wraith King  Outworld Devourer  Doom',
 'Elder Titan  Tidehunter  Shadow Shaman  Medusa  Gyrocopter',
 'Ancient Apparition  Ember Spirit  Shadow Shaman  Ogre Magi  Medusa',
 'Warlock  Shadow Demon  Axe  Bloodseeker  Storm Spirit',
 'Gyrocopter  Centaur Warrunner  Silencer  Lina  Necrophos',
 'Elder Titan  Mirana  Omniknight  Drow Ranger  Templar Assassin',
 'Crystal Maiden  Magnus  Juggernaut  Dark Willow  Dragon Knight',
 'Alchemist  Lina  Bane  Sand King  Queen of Pain',
 'Io  Gyrocopter  Shadow Demon  Legion Commander  Outworld Devourer',
 'Kunkka  Crystal Maiden  Invoker  Axe  Gyrocopter',
 'Grimstroke  Dazzle  Tiny  Spectre  Lycan',
 'Kunkka  Jakiro  Elder Titan  Broodmother  Arc Warden',
 'Beastmaster  Zeus  Alchemist  Ogre Magi  Viper',
 'Ogre Magi  Shadow Demon  Naga Siren  Jakiro  Shadow Fiend',
 'Ancient Apparition  Ember Spirit  Rubick  Lifestealer  Timbersaw']

Firstly we need to count comparative wins separately, then we will compare them as a team

In [10]:
heroes1new = []
heroes2new = []
for i in heroes1:
    heroes1new.append(i.split("  "))

for i in heroes2:
    heroes2new.append(i.split("  "))
In [11]:
#Herodict goes here
l = 0
hdict = {}
for i in heroes1new:
    for j in i:
        if j in hdict:
            continue
        else:
            hdict[j] = l
            l += 1

for i in heroes2new:
    for j in i:
        if j in hdict:
            continue
        else:
            hdict[j] = l
            l += 1
hdict
Out[11]:
{'Io': 0,
 'Tiny': 1,
 'Abaddon': 2,
 'Timbersaw': 3,
 'Gyrocopter': 4,
 'Rubick': 5,
 'Tidehunter': 6,
 'Ogre Magi': 7,
 'Templar Assassin': 8,
 'Juggernaut': 9,
 'Shadow Shaman': 10,
 'Lifestealer': 11,
 'Enigma': 12,
 'Chen': 13,
 'Meepo': 14,
 'Elder Titan': 15,
 'Faceless Void': 16,
 'Shadow Fiend': 17,
 'Dark Seer': 18,
 'Sven': 19,
 'Mirana': 20,
 'Tinker': 21,
 'Shadow Demon': 22,
 'Magnus': 23,
 'Wraith King': 24,
 'Bristleback': 25,
 'Earth Spirit': 26,
 'Leshrac': 27,
 'Alchemist': 28,
 'Legion Commander': 29,
 'Sand King': 30,
 'Jakiro': 31,
 'Dragon Knight': 32,
 'Pangolier': 33,
 "Nature's Prophet": 34,
 'Zeus': 35,
 'Omniknight': 36,
 'Windranger': 37,
 'Crystal Maiden': 38,
 'Lion': 39,
 'Medusa': 40,
 'Ember Spirit': 41,
 'Witch Doctor': 42,
 'Silencer': 43,
 'Phantom Lancer': 44,
 'Riki': 45,
 'Ancient Apparition': 46,
 'Arc Warden': 47,
 'Centaur Warrunner': 48,
 'Enchantress': 49,
 'Invoker': 50,
 'Earthshaker': 51,
 'Oracle': 52,
 'Terrorblade': 53,
 'Lina': 54,
 'Necrophos': 55,
 'Warlock': 56,
 'Death Prophet': 57,
 'Kunkka': 58,
 'Nyx Assassin': 59,
 'Brewmaster': 60,
 'Axe': 61,
 'Underlord': 62,
 'Anti-Mage': 63,
 'Batrider': 64,
 'Slark': 65,
 'Weaver': 66,
 'Visage': 67,
 'Beastmaster': 68,
 'Grimstroke': 69,
 'Sniper': 70,
 'Phantom Assassin': 71,
 'Broodmother': 72,
 'Razor': 73,
 'Queen of Pain': 74,
 'Winter Wyvern': 75,
 'Mars': 76,
 'Pugna': 77,
 'Monkey King': 78,
 'Puck': 79,
 'Lich': 80,
 'Storm Spirit': 81,
 'Morphling': 82,
 'Techies': 83,
 'Outworld Devourer': 84,
 'Drow Ranger': 85,
 'Skywrath Mage': 86,
 'Dark Willow': 87,
 'Naga Siren': 88,
 'Undying': 89,
 'Spectre': 90,
 'Pudge': 91,
 'Clinkz': 92,
 'Bloodseeker': 93,
 'Chaos Knight': 94,
 'Viper': 95,
 'Bane': 96,
 'Slardar': 97,
 'Huskar': 98,
 'Troll Warlord': 99,
 'Lone Druid': 100,
 'Vengeful Spirit': 101,
 'Treant Protector': 102,
 'Dazzle': 103,
 'Disruptor': 104,
 'Phoenix': 105,
 'Tusk': 106,
 'Luna': 107,
 'Doom': 108,
 'Lycan': 109,
 'Spirit Breaker': 110,
 'Night Stalker': 111,
 'Bounty Hunter': 112,
 'Venomancer': 113,
 ' Ember Spirit': 114}

Now to try and break down all possible matchups (which is a fuckload)

In [12]:
Matchups1 = []
binWins2 = []
for i in heroes1new:
    for j in i:
        Matchups1.append(j)
        Matchups1.append(j)
        Matchups1.append(j)
        Matchups1.append(j)
        Matchups1.append(j)


Matchups2 = []
for i in heroes2new:
    for j in range(5):
        Matchups2.append(i[0])
        Matchups2.append(i[1])
        Matchups2.append(i[2])
        Matchups2.append(i[3])
        Matchups2.append(i[4])

    
for i in binWins:
    for j in range(25):
        binWins2.append(i)

d = {'Radiant':Matchups1, 'Dire':Matchups2, 'Winner':binWins2}
heroGames = pd.DataFrame(data = d)
In [13]:
"""Number of Heroes"""
k = len(hdict.keys())
""" Number of Comparisons """
N = len(binWins2)
""" Design Matrix """
X = np.zeros((N,k))
gameNumber = 0
for index, row in heroGames.iterrows():
    X[gameNumber][hdict[row['Radiant']]] = 1
    X[gameNumber][hdict[row['Dire']]] = -1
    gameNumber+= 1
test3 = designMatrix(heroGames, hdict)    

X = np.matrix(X)
Xt = np.matrix.transpose(X)
XXt = np.dot(X,Xt)
Y = np.matrix(binWins2)
Y = np.matrix.transpose(Y)
rankings = np.matrix(np.random.rand(k,1))
tol = 1.
In [ ]:
In [ ]:
In [ ]:
In [14]:
ranks = np.asarray(rankings)
ranks = np.ndarray.tolist(ranks)

heroes = []
for i in hdict.keys():
    heroes.append(i)
    
data = {"Heroes":heroes, "Ranks":ranks}
data
Heroskills = pd.DataFrame(data)
Heroskills

test4 = BTfit(test3, binWins2, heroes,1)

Lets do some data fixing now on rankings and our two data frames

In [15]:
Heroskills = Heroskills.sort_values(by=['Ranks'], inplace=True, ascending=False)
In [ ]:
In [ ]:
In [16]:
heroes = []
for i in hdict.keys():
    heroes.append(i)

How do we interpret the 2 ratings, for teams it is clear, but for heroes i imagine we can add up the skills of both teams and treat them as a single team, to test

for treating heroes as players in a team we refer back to Haziq

We shall first implement this for team OG, haziq does this for liverpool and we will implement this in a similar way, what is worth noting for the final potential model is that in the EPL model there are no shared players while in ours "players" will predominantly be shared

From Huang et al. 2006

In [17]:
""" Consider k individuals """
k = len(hdict.keys())
k
Out[17]:
115
In [18]:
for i in heroes1new:
    i.sort()
In [19]:
I = []
for i in heroes1new:
    l = 0
    for j in heroes1new:
        if l == 0:
            continue
        elif i == j:
            print(True)
        l+=1
    for j in heroes2new:
        if i ==j:
            print(True)
In [20]:
ri = binWins
herodf = pd.DataFrame(data = {"Radiant": heroes1new, "Dire": heroes2new, "Winner":binWins})
In [21]:
q = np.zeros(len(hdict.keys()))
qplus = np.zeros(len(hdict.keys()))
qminus = np.zeros(len(hdict.keys()))
game = 0
for hero in hdict.keys():
    for i in range(len(binWins)):
        if hero in herodf["Radiant"][i]:
            if herodf["Winner"][i] == 1:
                q[hdict[hero]] += 1
                qplus[hdict[hero]] += 1
        elif hero in herodf["Dire"][i]:
            if herodf["Winner"][i] == 0:
                q[hdict[hero]] += 1
                qminus[hdict[hero]] += 1
        else:
            continue
In [22]:
qminus
Out[22]:
array([ 9., 15.,  4.,  2., 15., 12., 16., 13.,  6.,  2.,  4., 13.,  6.,
        8.,  1., 27.,  9.,  2.,  2., 10., 14.,  1., 25.,  5.,  7.,  4.,
        4., 13.,  7.,  3., 13.,  4.,  4.,  4.,  1.,  0.,  5.,  7., 10.,
        7.,  3.,  9.,  4.,  0.,  1.,  0.,  7.,  2., 10., 11.,  7., 11.,
        3.,  1.,  7.,  1.,  5.,  2., 14.,  4.,  0.,  4.,  0.,  0.,  4.,
        8.,  2.,  2.,  5.,  8.,  1.,  4.,  2.,  3.,  2.,  2.,  1.,  1.,
        4.,  1.,  1.,  8.,  2.,  0.,  3.,  0.,  2.,  4.,  4.,  0.,  4.,
        0.,  0.,  0.,  0.,  1.,  1.,  2.,  0.,  3.,  0.,  0.,  6.,  0.,
        0.,  1.,  5.,  0.,  1.,  0.,  1.,  1.,  0.,  0.,  0.])
In [23]:
k = len(hdict.keys())
m = len(binWins)
Ip = np.zeros((m,k))
I = np.zeros((m,k))
l = 0
r = binWins
for i in heroes1new:
    for j in i:
        if binWins[l] == 1:
            Ip[l,hdict[j]] = 1
        I[l,hdict[j]] = 1
        l+=1
        
    l = 0
for i in heroes2new:
    for j in i:
        if binWins[l] == 0:
            Ip[l,hdict[j]] = 1
        I[l,hdict[j]] = 1
    l += 1
    
po = np.ones(k)/k
maxiter = 1000;
delta = np.zeros(k)

def newI(team1,team2, k, m, index_dict):
    I = np.zeros((m,k))
    l = 0
    
    for i in team1:
        for j in i:
            I[l,index_dict[j]] = 1
        l += 1
    l = 0
    for i in team2:
        for j in i:
            I[l,index_dict[j]] = 1
        l += 1
    return(I)

def newIp(team1, k, m, index_dict):
    Ip =np.zeros((m,k))
    l = 0
    for i in team1:
        for j in i:
            Ip[l,index_dict[j]] = 1
        l+=1
    return(Ip)

def BTfit2(I,Ip,r,k,maxiter,playerlist):
    po = np.random.rand(k)
    delta = np.zeros(k)
    for t in range(maxiter):
        for i in range(k):
            pp = np.tile(np.transpose(po), (r.size,1))
            qp = np.sum(np.multiply(pp,Ip),axis=1)
            Ipp = Ip[:,i]
            q = np.sum(np.multiply(pp,I),axis=1)
            Ii = I[:,i]
            Ipp = Ipp.astype(int)
            Ii = Ii.astype(int)
            delta[i] = np.sum(np.divide(r[Ipp],qp[Ipp]))/np.sum(np.divide(r[Ii],q[Ii]))
            if np.isnan(delta[i]):
                print(po)
                print(delta)
                print(qp[Ipp])
                print(q[Ii])
                break
            po[i] = delta[i]*po[i]
            po = po/np.sum(po)
        if np.max(np.abs(delta-1)) < 0.001:
            separate = t*k
            break
    pest = po
    data = {"Heroes":playerlist, "Ranks":pest}
    Heroskills2 = pd.DataFrame(data)
    return(Heroskills2)
    
    
    
    
for t in range(maxiter):
    for i in range(k):
        pp = np.tile(np.transpose(po), (binWins.size,1))
        qp = np.sum(np.multiply(pp,Ip),axis=1)
        Ipp = Ip[:,i]
        q = np.sum(np.multiply(pp,I),axis=1)
        Ii = I[:,i]
        Ipp = Ipp.astype(int)
        Ii = Ii.astype(int)
        delta[i] = np.sum(np.divide(r[Ipp],qp[Ipp]))/np.sum(np.divide(r[Ii],q[Ii]))
        if np.isnan(delta[i]):
            print(po)
            print(delta)
            print(qp[Ipp])
            print(q[Ii])
            break
        po[i] = delta[i]*po[i]
        po = po/np.sum(po)
    if np.max(np.abs(delta-1)) < 0.001:
        separate = t*k
        break
pest = po                        
        
        
test5 = BTfit2(I,Ip,binWins,k,10,heroes)
test5
Out[23]:
Heroes Ranks
0 Io 0.002418
1 Tiny 0.020281
2 Abaddon 0.017755
3 Timbersaw 0.005078
4 Gyrocopter 0.012731
... ... ...
110 Spirit Breaker 0.002767
111 Night Stalker 0.003425
112 Bounty Hunter 0.012304
113 Venomancer 0.001251
114 Ember Spirit 0.006656

115 rows × 2 columns

Start with initial p_j^0 > 0, j = 1,...,k and obtain corresponding qi's values for i = 1,...,m k = no.heros m = no.games

In [24]:
pest/np.min(pest)
Out[24]:
array([4.15664897e+09, 1.41287231e+33, 5.33880590e+11, 3.99665343e+11,
       4.88251635e+30, 1.96090336e+22, 1.65747722e+20, 2.96461388e+51,
       1.19650899e+07, 2.54963297e+16, 5.26780997e+11, 2.95649552e+51,
       1.63430311e+19, 9.51048945e+11, 2.01538297e+02, 2.54002755e+41,
       1.25849115e+12, 1.74403607e+09, 1.96198420e+02, 1.06117961e+22,
       1.80841981e+25, 3.71407042e+04, 2.30092479e+58, 1.23375512e+19,
       1.14492409e+07, 9.61707643e+06, 5.84230717e+11, 3.88779057e+43,
       7.62887277e+11, 8.28408963e+13, 8.88777828e+24, 3.56096971e+16,
       4.22955878e+04, 2.88548941e+16, 7.18560061e+06, 3.19806179e+04,
       1.39308225e+14, 1.28617477e+07, 1.12159925e+22, 3.28002371e+09,
       4.38726091e+04, 8.39145507e+21, 2.30155883e+09, 6.46071095e+13,
       1.46344116e+09, 1.89703843e+02, 4.79795770e+21, 2.05132107e+02,
       3.65391315e+24, 5.50679359e+14, 9.58072809e+11, 1.75960621e+27,
       2.00996632e+09, 7.73804043e+06, 1.40214435e+24, 7.73804043e+06,
       6.07199719e+11, 1.05639772e+14, 1.85756654e+25, 5.20814391e+11,
       1.89576673e+02, 1.24734413e+14, 1.27079850e+09, 1.41889840e+09,
       4.49586776e+04, 2.54247088e+14, 1.58196182e+09, 1.93732098e+02,
       3.77169633e+16, 2.57805958e+24, 6.97756713e+06, 2.20955973e+09,
       8.71078784e+13, 2.47614769e+16, 8.69237191e+13, 1.00776752e+00,
       1.75394953e+09, 3.75208493e+04, 4.19669321e+04, 1.91635463e+02,
       1.39987425e+09, 2.03172433e+19, 8.67935653e+13, 3.36241524e+04,
       6.10856064e+18, 1.86453715e+02, 1.91466753e+02, 1.55462679e+21,
       4.42902612e+11, 1.81303998e+02, 9.73751048e+06, 1.39864184e+09,
       1.00537267e+00, 3.54517727e+04, 1.80982140e+02, 1.91126853e+02,
       1.56068813e+09, 3.95062390e+04, 3.34854206e+04, 3.82636634e+11,
       5.20734641e+13, 2.51404902e+11, 4.96632579e+04, 6.92370456e+06,
       1.24704384e+09, 2.88402521e+11, 2.18979339e+09, 1.80491681e+02,
       1.90608902e+02, 1.80335116e+02, 1.85294042e+02, 1.00000000e+00,
       3.34150227e+04, 3.34150227e+04, 1.80335116e+02])
In [25]:
data = {"Heroes":heroes, "Ranks":pest}
data
Heroskills2 =test5
Heroskills2
Out[25]:
Heroes Ranks
0 Io 0.002418
1 Tiny 0.020281
2 Abaddon 0.017755
3 Timbersaw 0.005078
4 Gyrocopter 0.012731
... ... ...
110 Spirit Breaker 0.002767
111 Night Stalker 0.003425
112 Bounty Hunter 0.012304
113 Venomancer 0.001251
114 Ember Spirit 0.006656

115 rows × 2 columns

Compare these results to overall pick rate, and how it changes over time as the model begins to converge

Cool, so we've implemented two models for hero weighting, likely should implement the combined model now, additionally should place these into functions so that we can develop train/test data for analytics

Combined Model: The idea behind the comparative model is to treat the heroes picked in the game as a homeground advantage by seeing which composition has the highest win-probability according to previous model (sum of player skills is the teams skill independent of which team is playing) additionally there is likely ways to treat it as a second logistic parameter but ya boi dumb so...

Imma do this with directly optimizing the log likelihood cause i a lazy bitch

In [26]:
"aij be the number of times i beats j at home"
k = len(index_dict.keys())
aij = np.zeros((k,k))
bij = np.zeros((k,k))
l = 0
for i in games["Radiant"]:
    j = games["Dire"][l]
    if games["Winner"][l] == 1:
        aij[index_dict[i]][index_dict[j]]+=1
    else:
        bij[index_dict[i]][index_dict[j]]+=1
    l+=1
nij = aij + bij
c = sum(binWins)

def BTloglik(li):
    lilj = np.zeros(len(li[:-1]))
    for i in range(len(li[:-1])):
        for j in range(len(li[:-1])):
            if i != j:
                lilj[i] += (li[-1]*li[i]+li[j])
    print(lilj)
    ll = c*np.log(li[-1]) + np.sum(np.multiply(wincounts,np.log(li[:-1])))-np.sum(np.dot(nij,np.log(lilj)))
    return(-ll)

x0 = np.random.rand(k+1)
len(x0[:-1])
wincounts
#np.multiply(Wi,x0[:-2])
BTloglik(x0)

[15.85489353 10.15723329 22.41986365  8.67028963 15.42633714 12.1498202
  9.97137298 22.94168417 14.28351803 13.42527125 10.00287502 19.95400155
 10.16363691 10.26970664 10.16913007 18.34914394 16.87996086 10.5786385 ]
Out[26]:
726.7459429511451
In [27]:
from scipy.optimize import minimize
In [28]:
np.random.seed(12345)
x0 = np.random.rand(k+1)
x0[-1] = 1
res = minimize(BTloglik, x0, method = 'nelder-mead')

[25.15272366 15.34087505 13.22156716 13.55183063 19.36246664 19.80758143
 25.71109849 20.72969973 22.26137238 20.73598411 22.24230313 25.65977395
 10.41307894 11.9819762  15.0581256  20.78144511 23.23586702 24.2336808 ]
[25.94289734 15.38735586 13.26804797 13.59831144 19.40894745 19.85406223
 25.7575793  20.77618053 22.30785318 20.78246492 22.28878393 25.70625476
 10.45955975 12.02845701 15.1046064  20.82792591 23.28234782 24.2801616 ]
[25.16854244 15.60979427 13.23738594 13.56764941 19.37828542 19.8234002
 25.72691727 20.74551851 22.27719116 20.75180289 22.2581219  25.67559273
 10.42889772 11.99779498 15.07394438 20.79726388 23.2516858  24.24949958]
[25.1619196  15.35007099 13.37789815 13.56102658 19.37166258 19.81677737
 25.72029443 20.73889567 22.27056832 20.74518005 22.25149907 25.6689699
 10.42227489 11.99117215 15.06732154 20.79064105 23.24506296 24.24287674]
[25.16295168 15.35110307 13.23179518 13.72570687 19.37269466 19.81780944
 25.72132651 20.73992774 22.27160039 20.74621213 22.25253114 25.67000197
 10.42330696 11.99220422 15.06835361 20.79167312 23.24609503 24.24390881]
[25.18110991 15.3692613  13.24995342 13.58021689 19.84503292 19.83596768
 25.73948475 20.75808598 22.28975863 20.76437036 22.27068938 25.68816021
 10.4414652  12.01036246 15.08651185 20.80983136 23.26425327 24.26206705]
[25.1825009  15.37065229 13.2513444  13.58160787 19.39224388 20.31379442
 25.74087573 20.75947696 22.29114961 20.76576135 22.27208036 25.68955119
 10.44285618 12.01175344 15.08790283 20.81122234 23.26564425 24.26345803]
[25.20094939 15.38910078 13.26979289 13.60005636 19.41069237 19.85580715
 26.53093584 20.77792545 22.3095981  20.78420984 22.29052885 25.70799968
 10.46130467 12.03020193 15.10635132 20.82967083 23.28409274 24.28190652]
[25.18538252 15.37353391 13.25422602 13.58448949 19.3951255  19.84024028
 25.74375735 21.28490026 22.29403123 20.76864297 22.27496198 25.69243281
 10.4457378  12.01463506 15.09078445 20.81410396 23.26852587 24.26633965]
[25.19016899 15.37832038 13.2590125  13.58927597 19.39991197 19.84502676
 25.74854383 20.76714506 22.89794302 20.77342944 22.27974846 25.69721929
 10.45052428 12.01942154 15.09557093 20.81889044 23.27331235 24.27112613]
[25.18540216 15.37355354 13.25424566 13.58450913 19.39514514 19.84025992
 25.74377699 20.76237822 22.29405087 21.2915185  22.27498162 25.69245245
 10.44575744 12.0146547  15.09080409 20.8141236  23.26854551 24.26635929]
[25.1901094  15.37826079 13.25895291 13.58921638 19.39985238 19.84496717
 25.74848423 20.76708547 22.29875812 20.77336985 22.87786071 25.6971597
 10.45046469 12.01936195 15.09551134 20.81883085 23.27325276 24.27106654]
[25.200789   15.38894039 13.2696325  13.59989597 19.41053198 19.85564676
 25.75916383 20.77776506 22.30943772 20.78404945 22.29036846 26.47688468
 10.46114428 12.03004154 15.10619093 20.82951044 23.28393236 24.28174613]
[25.15314308 15.34129447 13.22198658 13.55225005 19.36288606 19.80800084
 25.71151791 20.73011914 22.26179179 20.73640353 22.24272254 25.66019337
 10.420209   11.98239562 15.05854501 20.78186452 23.23628643 24.23410021]
[25.15804588 15.34619727 13.22688938 13.55715285 19.36778886 19.81290364
 25.71642071 20.73502195 22.2666946  20.74130633 22.24762534 25.66509617
 10.41840116 12.07245393 15.06344782 20.78676733 23.24118924 24.23900302]
[25.16765885 15.35581024 13.23650235 13.56676582 19.37740183 19.82251661
 25.72603368 20.74463491 22.27630756 20.7509193  22.25723831 25.67470914
 10.42801413 11.99691139 15.31202375 20.79638029 23.2508022  24.24861598]
[25.18554422 15.37369561 13.25438772 13.58465119 19.3952872  19.84040198
 25.74391905 20.76252029 22.29419294 20.76880467 22.27512369 25.69259451
 10.4458995  12.01479676 15.09094616 21.33939461 23.26868758 24.26650136]
[25.19321429 15.38136568 13.26205779 13.59232126 19.40295727 19.84807205
 25.75158912 20.77019036 22.30186301 20.77647474 22.28279375 25.70026458
 10.45356957 12.02246683 15.09861623 20.82193573 23.92420769 24.27417142]
[25.19633246 15.38448385 13.26517596 13.59543943 19.40607544 19.85119022
 25.75470729 20.77330852 22.30498117 20.77959291 22.28591192 25.70338275
 10.45668774 12.025585   15.10173439 20.8250539  23.27947581 24.97503032]
[25.94289734 15.60979427 13.37789815 13.72570687 19.84503292 20.31379442
 26.53093584 21.28490026 22.89794302 21.2915185  22.87786071 26.47688468
 10.420209   12.07245393 15.31202375 21.33939461 23.92420769 24.97503032]
[25.32052117 15.40187358 13.25949767 13.59335596 19.46723897 19.91719869
 25.88497374 20.84935397 22.39769841 20.85570675 22.37842159 25.83309055
 10.42043991 12.00641414 15.11604648 20.90166258 23.38280012 23.61597512]
[25.34556844 15.41564525 13.27083387 13.60507169 19.48563218 19.93610342
 25.91066268 20.86931838 22.41942299 20.87567839 22.40012426 25.85872051
 10.42854865 12.01632583 15.12949322 20.33769343 23.40564458 24.25988625]
[25.42598163 15.43675657 13.2791363  13.6153702  19.53104961 19.98421108
 25.99445064 20.92299924 22.48236113 20.92939723 22.46294715 25.94219827
 10.41987684 12.01713628 15.14889563 19.83200128 23.47447247 24.25623823]
[25.36245575 15.4138247  13.26497253 13.59984005 19.49147944 19.94279936
 25.92861462 20.87777249 22.43079748 20.88414448 22.41146239 25.87657459
 10.41733248 12.00810101 15.12713357 20.75443187 22.69770782 24.25028132]
[25.37180474 15.40872051 13.25674653 13.59210054 19.49229919 19.94427478
 25.07920632 20.88060621 22.43588741 20.88698746 22.41652423 25.88667048
 10.40496948 11.99804905 15.12161288 20.73869044 23.28069899 24.23914644]
[25.40187245 15.42280147 13.26737443 13.60326654 19.51293265 19.96563348
 25.7972744  20.90346735 22.46124415 20.90985884 21.77493253 25.91756435
 10.41102142 12.00665724 15.13523314 20.740989   23.29227944 24.24653991]
[25.41248402 15.41572856 13.25648177 13.59296914 19.51310809 19.96661118
 25.79056168 20.90610704 22.46664446 20.91250986 22.31337609 25.07087883
 10.39506685 11.99353039 15.12765062 20.72086236 23.28242553 24.23204873]
[25.45194799 15.43562834 13.27215578 13.60930168 19.54102667 19.99541729
 25.81084025 20.35303751 22.50034327 20.94316714 22.33279945 25.79731908
 10.40514092 12.00673274 15.14698662 20.72629635 23.29923043 24.24371655]
[25.48337824 15.44541277 13.27726483 13.61513931 19.55968309 19.48225281
 25.82101975 20.84125882 22.52539494 20.96485366 22.34203993 25.81152503
 10.40405419 12.00910714 15.15614727 20.72004589 23.30556841 24.24436243]
[25.50680121 15.44488426 13.27156293 13.61024361 19.5689716  19.91847191
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c:\users\rowan\appdata\local\programs\python\python37\lib\site-packages\ipykernel_launcher.py:23: RuntimeWarning: invalid value encountered in log

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[9.73602515 8.99845471 7.41639689 8.26739374 8.2388357  6.59558622
 6.88962841 5.82931601 7.28399173 6.43379165 5.36111398 6.24506458
 4.09972492 7.36042557 8.93878428 4.54556293 5.69721762 4.78009145]
In [29]:
data = {"Teams":Teamlist, "Ranks":res.x[:-1]/np.min(res.x[:-1]),"Radiant Advantage":res.x[-1]}
data
Teamhg = pd.DataFrame(data)
Teamhg.sort_values(by=['Ranks'], inplace=True, ascending=False)
Teamhg
Out[29]:
Teams Ranks Radiant Advantage
0 OG 18.053787 0.915161
1 Team Liquid 15.822115 0.915161
14 Natus Vincere 15.641570 0.915161
3 Team Secret 13.610140 0.915161
4 Vici Gaming 13.523732 0.915161
2 PSG.LGD 11.035274 0.915161
13 Mineski 10.865921 0.915161
8 Newbee 10.634655 0.915161
6 Royal Never Give Up 9.441427 0.915161
5 Evil Geniuses 8.551742 0.915161
9 TNC Predator 8.062199 0.915161
11 Fnatic 7.491167 0.915161
7 Infamous Gaming 6.233234 0.915161
16 KEEN GAMING 5.833543 0.915161
10 Virtus.pro 4.816592 0.915161
17 Ninjas in Pyjamas 3.058589 0.915161
15 Chaos Esports Club 2.348975 0.915161
12 Alliance 1.000000 0.915161
In [30]:
np.sum(aij,axis=1)
Out[30]:
array([ 8., 13.,  3.,  8.,  7.,  4.,  5.,  2.,  7.,  5.,  2.,  5.,  4.,
        5.,  5.,  1.,  3.,  2.])
In [31]:
Teamlist
Out[31]:
['OG',
 'Team Liquid',
 'PSG.LGD',
 'Team Secret',
 'Vici Gaming',
 'Evil Geniuses',
 'Royal Never Give Up',
 'Infamous Gaming',
 'Newbee',
 'TNC Predator',
 'Virtus.pro',
 'Fnatic',
 'Alliance',
 'Mineski',
 'Natus Vincere',
 'Chaos Esports Club',
 'KEEN GAMING',
 'Ninjas in Pyjamas']
In [32]:
np.sum(bij,axis=1)
Out[32]:
array([1., 9., 3., 6., 5., 2., 8., 5., 7., 8., 7., 8., 3., 5., 5., 5., 8.,
       9.])

Lets add some extra data to represent whether a team's composition has won

In [33]:
Teamskill1 = np.zeros(m)
Teamskill2 = np.zeros(m)

index = 0
for i in heroes1new:
    for j in i:
        Teamskill1[index] += test4["Ranks"][hdict[j]][0]
    index += 1
index = 0

for i in heroes2new:
    for j in i:
        Teamskill2[index] += test4["Ranks"][hdict[j]][0]
    index += 1
In [34]:
Teamwin1 = np.zeros(m)
for i in range(m):
    prob = Teamskill1[i]/(Teamskill1[i]+Teamskill2[i])
    if prob >= 0.5:
        Teamwin1[i] = 1
In [35]:
Teamwin1
Out[35]:
array([1., 1., 1., 1., 0., 1., 1., 0., 1., 1., 0., 0., 1., 0., 1., 1., 1.,
       0., 1., 0., 0., 1., 1., 0., 1., 0., 1., 0., 1., 0., 0., 0., 0., 1.,
       1., 0., 1., 0., 1., 0., 0., 0., 1., 0., 0., 0., 1., 0., 1., 1., 1.,
       1., 0., 0., 0., 1., 1., 0., 0., 1., 0., 0., 0., 1., 0., 1., 1., 0.,
       1., 0., 0., 0., 0., 0., 1., 0., 1., 0., 0., 1., 0., 0., 0., 1., 0.,
       0., 0., 1., 1., 0., 1., 0., 1., 1., 1., 1., 1., 1., 1., 0., 1., 0.,
       0., 1., 0., 0., 1., 1., 0., 1., 1., 1., 0., 1., 0., 1., 1., 0., 0.,
       0., 0., 0., 0., 1., 1., 0., 0., 1., 1., 1., 0., 1., 0., 1., 0., 0.,
       0., 1., 1., 0., 0., 1., 1., 1., 0., 0., 1., 0., 0., 1., 1., 1., 1.,
       1., 1., 0., 1., 0., 0., 0., 1., 1., 0., 1., 1., 0., 0., 1., 0., 0.,
       0., 1., 1., 0., 1., 1., 0., 1., 0., 1., 0., 0., 1., 0., 1., 0., 1.,
       1., 0., 1., 0., 1., 1.])
In [36]:
games['Team Winner'] = Teamwin1
In [37]:
Teamskill3 = np.zeros(m)
Teamskill4 = np.zeros(m)

index = 0
m = len(games["Winner"])
for i in heroes1new:
    for j in i:
            Teamskill3[index] += Heroskills2["Ranks"][hdict[j]]
    index += 1

index = 0
for i in heroes2new:
    for j in i:
            Teamskill4[index] += Heroskills2["Ranks"][hdict[j]]            
    index += 1

Teamskill3
Out[37]:
array([0.05826342, 0.04932284, 0.03253164, 0.05574972, 0.04887126,
       0.05352506, 0.04309852, 0.06411888, 0.03571842, 0.06776762,
       0.05639122, 0.04201568, 0.06271853, 0.03704253, 0.07154188,
       0.03481156, 0.04904427, 0.03908353, 0.05278815, 0.06011708,
       0.04127911, 0.06949787, 0.03508317, 0.04226109, 0.05031455,
       0.04408484, 0.03542285, 0.0371827 , 0.05242269, 0.0518443 ,
       0.04519477, 0.03936148, 0.04551651, 0.03469151, 0.05307554,
       0.03481139, 0.06333757, 0.08143103, 0.08286964, 0.06102032,
       0.05395104, 0.04912828, 0.03968447, 0.05847694, 0.07712766,
       0.06134621, 0.02937076, 0.05971084, 0.07129871, 0.04490069,
       0.08045464, 0.06307551, 0.03238673, 0.03857766, 0.0312012 ,
       0.06567071, 0.0638584 , 0.02446147, 0.04537502, 0.06099109,
       0.05256598, 0.06051679, 0.05389125, 0.06251273, 0.0502998 ,
       0.05499471, 0.0405897 , 0.02522729, 0.04869808, 0.03803977,
       0.06148235, 0.05109231, 0.05530843, 0.05517525, 0.06220411,
       0.07018249, 0.06487317, 0.05676701, 0.05150733, 0.05754166,
       0.04156114, 0.06441124, 0.05556331, 0.04409628, 0.05283724,
       0.08015128, 0.03165333, 0.05391064, 0.05679063, 0.07414443,
       0.07022968, 0.047634  , 0.05579683, 0.05574757, 0.05076638,
       0.02599678, 0.06578399, 0.04486522, 0.05850651, 0.03681003,
       0.03898262, 0.04962654, 0.04899164, 0.03544223, 0.05621469,
       0.05843056, 0.02483259, 0.06053603, 0.03801995, 0.04855884,
       0.06057197, 0.0462941 , 0.05591669, 0.02530403, 0.06427495,
       0.04149054, 0.03976753, 0.05835946, 0.0472503 , 0.04381477,
       0.03704096, 0.03914057, 0.04723067, 0.05949627, 0.05380503,
       0.05554192, 0.06263619, 0.04720207, 0.06131835, 0.02598198,
       0.04925665, 0.0323648 , 0.05617469, 0.04814173, 0.03190695,
       0.04959532, 0.06603025, 0.0303576 , 0.03939737, 0.07658066,
       0.05740899, 0.08452256, 0.07871838, 0.04372445, 0.05636131,
       0.04534546, 0.04835674, 0.05341237, 0.05624112, 0.05973107,
       0.03706653, 0.08192623, 0.04688861, 0.07629529, 0.07026644,
       0.05271251, 0.07765776, 0.02296126, 0.04194623, 0.04748022,
       0.08033217, 0.05054205, 0.04815415, 0.05340665, 0.06779858,
       0.03626689, 0.04004309, 0.04682359, 0.07004202, 0.06484296,
       0.05339759, 0.04016331, 0.04709493, 0.04097786, 0.07580157,
       0.036521  , 0.0454991 , 0.03447513, 0.04194053, 0.04487593,
       0.04388608, 0.05283472, 0.06347853, 0.03495253, 0.03762723,
       0.03340786, 0.03664749, 0.06036604, 0.05491658, 0.06291199,
       0.05699323, 0.05375685, 0.0494316 ])
In [38]:
Teamwin2 = np.zeros(m)
for i in range(m):
    if Teamskill3[i] > Teamskill4[i]:
        Teamwin2[i] = 1

Teamwin2
Out[38]:
array([1., 0., 0., 1., 1., 0., 0., 1., 0., 1., 0., 0., 0., 0., 1., 0., 1.,
       0., 1., 1., 0., 1., 0., 0., 0., 0., 0., 0., 1., 1., 1., 0., 0., 0.,
       1., 0., 1., 1., 1., 1., 1., 1., 0., 1., 1., 0., 1., 1., 1., 0., 1.,
       1., 0., 0., 0., 1., 0., 0., 1., 1., 1., 0., 1., 1., 0., 0., 1., 0.,
       1., 0., 1., 1., 0., 1., 1., 1., 1., 1., 0., 0., 0., 1., 1., 0., 1.,
       1., 0., 1., 1., 1., 1., 1., 1., 0., 0., 0., 1., 0., 1., 0., 0., 0.,
       0., 0., 1., 1., 0., 1., 0., 0., 1., 1., 1., 0., 1., 1., 0., 1., 0.,
       0., 0., 0., 0., 1., 1., 1., 1., 1., 1., 0., 1., 0., 0., 1., 0., 1.,
       1., 0., 0., 1., 1., 1., 1., 1., 1., 1., 1., 1., 0., 1., 0., 1., 0.,
       1., 1., 1., 1., 0., 0., 0., 1., 1., 0., 0., 1., 0., 0., 0., 1., 1.,
       1., 0., 1., 0., 1., 0., 0., 0., 0., 1., 0., 0., 1., 0., 0., 0., 0.,
       1., 1., 0., 1., 0., 0.])
In [39]:
games['Team Winner 2'] = Teamwin2
In [40]:
k = len(index_dict.keys())
aij = np.zeros((k,k))
bij = np.zeros((k,k))
l = 0
for i in games["Radiant"]:
    j = games["Dire"][l]
    if games["Team Winner"][l] == 1:
        aij[index_dict[i]][index_dict[j]]+=1
    else:
        bij[index_dict[i]][index_dict[j]]+=1
    l+=1
nij = aij + bij
c = sum(games["Team Winner"])

np.random.seed(12345)
x0 = np.random.rand(k+1)
x0[-1] = 1
res = minimize(BTloglik, x0, method = 'nelder-mead')

data = {"Teams":Teamlist, "Ranks":np.exp(res.x[:-1]),"Draft Advantage 1":np.exp(res.x[-1])}

Teamhg2 = pd.DataFrame(data)
Teamhg2.sort_values(by=['Ranks'], inplace=True, ascending=False)
Teamhg2

k = len(index_dict.keys())
aij = np.zeros((k,k))
bij = np.zeros((k,k))
l = 0
for i in games["Radiant"]:
    j = games["Dire"][l]
    if games["Team Winner 2"][l] == 1:
        aij[index_dict[i]][index_dict[j]]+=1
    else:
        bij[index_dict[i]][index_dict[j]]+=1
    l+=1
nij = aij + bij
c = sum(games["Team Winner 2"])

np.random.seed(12345)
x0 = np.random.rand(k+1)
x0[-1] = 1
res = minimize(BTloglik, x0, method = 'nelder-mead')

data = {"Teams":Teamlist, "Ranks":np.exp(res.x[:-1]),"Draft Advantage 2":np.exp(res.x[-1])}

Teamhg3 = pd.DataFrame(data)
Teamhg3.sort_values(by=['Ranks'], inplace=True, ascending=False)
Teamhg3

[25.15272366 15.34087505 13.22156716 13.55183063 19.36246664 19.80758143
 25.71109849 20.72969973 22.26137238 20.73598411 22.24230313 25.65977395
 10.41307894 11.9819762  15.0581256  20.78144511 23.23586702 24.2336808 ]
[25.94289734 15.38735586 13.26804797 13.59831144 19.40894745 19.85406223
 25.7575793  20.77618053 22.30785318 20.78246492 22.28878393 25.70625476
 10.45955975 12.02845701 15.1046064  20.82792591 23.28234782 24.2801616 ]
[25.16854244 15.60979427 13.23738594 13.56764941 19.37828542 19.8234002
 25.72691727 20.74551851 22.27719116 20.75180289 22.2581219  25.67559273
 10.42889772 11.99779498 15.07394438 20.79726388 23.2516858  24.24949958]
[25.1619196  15.35007099 13.37789815 13.56102658 19.37166258 19.81677737
 25.72029443 20.73889567 22.27056832 20.74518005 22.25149907 25.6689699
 10.42227489 11.99117215 15.06732154 20.79064105 23.24506296 24.24287674]
[25.16295168 15.35110307 13.23179518 13.72570687 19.37269466 19.81780944
 25.72132651 20.73992774 22.27160039 20.74621213 22.25253114 25.67000197
 10.42330696 11.99220422 15.06835361 20.79167312 23.24609503 24.24390881]
[25.18110991 15.3692613  13.24995342 13.58021689 19.84503292 19.83596768
 25.73948475 20.75808598 22.28975863 20.76437036 22.27068938 25.68816021
 10.4414652  12.01036246 15.08651185 20.80983136 23.26425327 24.26206705]
[25.1825009  15.37065229 13.2513444  13.58160787 19.39224388 20.31379442
 25.74087573 20.75947696 22.29114961 20.76576135 22.27208036 25.68955119
 10.44285618 12.01175344 15.08790283 20.81122234 23.26564425 24.26345803]
[25.20094939 15.38910078 13.26979289 13.60005636 19.41069237 19.85580715
 26.53093584 20.77792545 22.3095981  20.78420984 22.29052885 25.70799968
 10.46130467 12.03020193 15.10635132 20.82967083 23.28409274 24.28190652]
[25.18538252 15.37353391 13.25422602 13.58448949 19.3951255  19.84024028
 25.74375735 21.28490026 22.29403123 20.76864297 22.27496198 25.69243281
 10.4457378  12.01463506 15.09078445 20.81410396 23.26852587 24.26633965]
[25.19016899 15.37832038 13.2590125  13.58927597 19.39991197 19.84502676
 25.74854383 20.76714506 22.89794302 20.77342944 22.27974846 25.69721929
 10.45052428 12.01942154 15.09557093 20.81889044 23.27331235 24.27112613]
[25.18540216 15.37355354 13.25424566 13.58450913 19.39514514 19.84025992
 25.74377699 20.76237822 22.29405087 21.2915185  22.27498162 25.69245245
 10.44575744 12.0146547  15.09080409 20.8141236  23.26854551 24.26635929]
[25.1901094  15.37826079 13.25895291 13.58921638 19.39985238 19.84496717
 25.74848423 20.76708547 22.29875812 20.77336985 22.87786071 25.6971597
 10.45046469 12.01936195 15.09551134 20.81883085 23.27325276 24.27106654]
[25.200789   15.38894039 13.2696325  13.59989597 19.41053198 19.85564676
 25.75916383 20.77776506 22.30943772 20.78404945 22.29036846 26.47688468
 10.46114428 12.03004154 15.10619093 20.82951044 23.28393236 24.28174613]
[25.15314308 15.34129447 13.22198658 13.55225005 19.36288606 19.80800084
 25.71151791 20.73011914 22.26179179 20.73640353 22.24272254 25.66019337
 10.420209   11.98239562 15.05854501 20.78186452 23.23628643 24.23410021]
[25.15804588 15.34619727 13.22688938 13.55715285 19.36778886 19.81290364
 25.71642071 20.73502195 22.2666946  20.74130633 22.24762534 25.66509617
 10.41840116 12.07245393 15.06344782 20.78676733 23.24118924 24.23900302]
[25.16765885 15.35581024 13.23650235 13.56676582 19.37740183 19.82251661
 25.72603368 20.74463491 22.27630756 20.7509193  22.25723831 25.67470914
 10.42801413 11.99691139 15.31202375 20.79638029 23.2508022  24.24861598]
[25.18554422 15.37369561 13.25438772 13.58465119 19.3952872  19.84040198
 25.74391905 20.76252029 22.29419294 20.76880467 22.27512369 25.69259451
 10.4458995  12.01479676 15.09094616 21.33939461 23.26868758 24.26650136]
[25.19321429 15.38136568 13.26205779 13.59232126 19.40295727 19.84807205
 25.75158912 20.77019036 22.30186301 20.77647474 22.28279375 25.70026458
 10.45356957 12.02246683 15.09861623 20.82193573 23.92420769 24.27417142]
[25.19633246 15.38448385 13.26517596 13.59543943 19.40607544 19.85119022
 25.75470729 20.77330852 22.30498117 20.77959291 22.28591192 25.70338275
 10.45668774 12.025585   15.10173439 20.8250539  23.27947581 24.97503032]
[25.94289734 15.60979427 13.37789815 13.72570687 19.84503292 20.31379442
 26.53093584 21.28490026 22.89794302 21.2915185  22.87786071 26.47688468
 10.420209   12.07245393 15.31202375 21.33939461 23.92420769 24.97503032]
[25.32052117 15.40187358 13.25949767 13.59335596 19.46723897 19.91719869
 25.88497374 20.84935397 22.39769841 20.85570675 22.37842159 25.83309055
 10.42043991 12.00641414 15.11604648 20.90166258 23.38280012 23.61597512]
[25.34556844 15.41564525 13.27083387 13.60507169 19.48563218 19.93610342
 25.91066268 20.86931838 22.41942299 20.87567839 22.40012426 25.85872051
 10.42854865 12.01632583 15.12949322 20.33769343 23.40564458 24.25988625]
[25.42598163 15.43675657 13.2791363  13.6153702  19.53104961 19.98421108
 25.99445064 20.92299924 22.48236113 20.92939723 22.46294715 25.94219827
 10.41987684 12.01713628 15.14889563 19.83200128 23.47447247 24.25623823]
[25.36245575 15.4138247  13.26497253 13.59984005 19.49147944 19.94279936
 25.92861462 20.87777249 22.43079748 20.88414448 22.41146239 25.87657459
 10.41733248 12.00810101 15.12713357 20.75443187 22.69770782 24.25028132]
[25.37180474 15.40872051 13.25674653 13.59210054 19.49229919 19.94427478
 25.07920632 20.88060621 22.43588741 20.88698746 22.41652423 25.88667048
 10.40496948 11.99804905 15.12161288 20.73869044 23.28069899 24.23914644]
[25.40187245 15.42280147 13.26737443 13.60326654 19.51293265 19.96563348
 25.7972744  20.90346735 22.46124415 20.90985884 21.77493253 25.91756435
 10.41102142 12.00665724 15.13523314 20.740989   23.29227944 24.24653991]
[25.41248402 15.41572856 13.25648177 13.59296914 19.51310809 19.96661118
 25.79056168 20.90610704 22.46664446 20.91250986 22.31337609 25.07087883
 10.39506685 11.99353039 15.12765062 20.72086236 23.28242553 24.23204873]
[25.45194799 15.43562834 13.27215578 13.60930168 19.54102667 19.99541729
 25.81084025 20.35303751 22.50034327 20.94316714 22.33279945 25.79731908
 10.40514092 12.00673274 15.14698662 20.72629635 23.29923043 24.24371655]
[25.48337824 15.44541277 13.27726483 13.61513931 19.55968309 19.48225281
 25.82101975 20.84125882 22.52539494 20.96485366 22.34203993 25.81152503
 10.40405419 12.00910714 15.15614727 20.72004589 23.30556841 24.24436243]
[25.50680121 15.44488426 13.27156293 13.61024361 19.5689716  19.91847191
 25.82089908 20.8413926  21.87092929 20.97749503 22.34088897 25.81586511
 10.39149656 12.0003793  15.15492856 20.70173794 23.30119914 24.23368446]
[25.54567676 15.45725395 13.27820748 13.61778035 19.59220527 19.93148893
 25.83368434 20.85447726 22.43814    20.41821247 22.35254473 25.83359342
 10.39055422 12.00367521 15.16653442 20.69438743 23.30928527 24.23477651]
[25.72799728 15.49984716 13.29062033 13.63489637 19.69206864 19.97724
 25.87785289 20.90053086 22.51050745 19.97118964 22.39094285 25.90393289
 10.36297232 11.99843545 15.20510109 20.63225701 23.32872637 24.21713188]
[25.63921276 15.50676926 13.31821456 13.65926914 19.65976338 19.98204514
 25.88380718 20.90513854 22.49708795 20.90145501 22.4008164  25.89194086
 10.41796106 12.03812088 15.21478118 20.71104857 23.35160979 24.26545633]
[24.8023571  15.47301282 13.27710428 13.61930485 19.63996155 19.94906462
 25.85045024 20.87223311 22.47059375 20.86748109 22.36604874 25.86495791
 10.36710555 11.99270932 15.18004362 20.65179437 23.31222655 24.21704217]
[25.55310186 15.51708433 13.31303353 13.65650295 19.69948379 19.99396578
 25.89489286 20.91721116 22.52267259 20.91127389 22.40895067 25.91647103
 10.39224474 12.02387613 14.9535246  20.66754563 23.35000192 24.24479338]
[25.57909435 15.51942419 13.30635653 13.65123111 19.20562859 19.99718848
 25.89755686 20.92051138 22.53383899 20.9132589  22.40993442 25.92698098
 10.37361869 12.01192514 15.17001605 20.63841496 23.34528876 24.22894884]
[25.64682927 15.56100435 13.3379493  13.68438026 19.67630898 20.0397027
 25.93939018 20.96310216 22.58514591 20.95438967 22.44993824 25.97752425
 10.39197625 11.9412118  15.20442488 20.64500519 23.37895849 24.25025188]
[25.7041266  15.58937865 13.35525876 13.70341402 19.71452945 20.06905843
 25.96791589 20.99253138 22.62423555 20.98219741 22.47647562 26.0157233
 10.3870014  12.02912311 15.2248387  20.63445389 23.39844922 24.25599649]
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c:\users\rowan\appdata\local\programs\python\python37\lib\site-packages\ipykernel_launcher.py:23: RuntimeWarning: invalid value encountered in log

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[17.9100201  27.07655402 15.72454435 15.11022065 18.08403102 11.27118573
 12.41054988 10.91072969 15.669598   13.48906164 10.36241057 13.92359233
  6.5077143  11.28484421 13.5573707   7.72873882 10.51217819  8.40730803]
[17.88247614 27.01537587 15.68762066 15.01500883 17.86831986 11.23457717
 12.26652147 10.92652939 15.61829404 13.4510657  10.22787888 13.77435571
  6.50102329 11.28168961 13.52677147  7.74767432 10.52849111  8.41504867]
[17.7372478  26.83756678 15.68158544 15.07581654 17.89130378 11.21349824
 12.30391416 10.97991292 15.5352514  13.26715515 10.30074526 13.60097395
  6.48450677 11.27835582 13.32979874  7.66575339 10.5102048   8.37738562]
[17.68232601 27.07286865 15.72705397 15.09981311 17.86689997 11.18582374
 12.40992512 10.92432041 15.72998524 13.51341289 10.43127915 13.7815327
  6.50011218 11.25189275 13.51484806  7.7435599  10.58631049  8.37474363]
[17.88182929 27.19863577 15.68776821 15.1408921  17.88331502 11.34198177
 12.4109653  11.0409908  15.70923114 13.57118664 10.35032932 13.80182423
  6.50763234 11.32462219 13.494429    7.70954334 10.72645178  8.42587535]
[17.679438   27.14545405 15.68429767 15.11489363 17.92737212 11.2828173
 12.3232996  10.97884251 15.66593202 13.36870642 10.35419615 13.69762503
  6.48757111 11.3203473  13.52537872  7.69071862 10.61183185  8.42009356]
[17.96984384 27.21165628 15.74463968 15.10482193 18.03448976 11.34174681
 12.43840784 10.96149676 15.79691056 13.74487932 10.43293134 14.04591648
  6.52604321 11.30623687 13.75366023  7.77219028 10.65779461  8.47544318]
[18.04991695 26.96734765 15.71174036 15.14959448 18.15442827 11.38128021
 12.43596729 11.00712197 15.7365795  13.61018188 10.41873422 13.82365041
  6.52048814 11.31024075 13.59047679  7.69982626 10.642189    8.48515891]
[17.95190268 27.24484346 15.73776777 15.11677544 17.89452944 11.29200271
 12.42262189 10.99478751 15.678841   13.46938225 10.3043127  13.85723259
  6.49998307 11.31833528 13.57134768  7.70358294 10.56491131  8.42108269]
[18.02311041 27.45278234 15.75954359 15.13542518 17.80777818 11.29353183
 12.46307555 11.01446265 15.67902666 13.41533154 10.23675318 13.88082301
  6.4926873  11.34069979 13.58691957  7.68844007 10.53816941  8.40858321]
[17.68983108 26.97774273 15.71662501 15.09680791 17.93179999 11.30489953
 12.26726152 10.8399697  15.61090641 13.50141716 10.29490744 13.54408575
  6.48260996 11.28611693 13.52864484  7.68318873 10.50497354  8.43032805]
[18.12455252 27.17208369 15.76652426 15.22761093 18.06978481 11.37337276
 12.39952309 11.00336436 15.79782316 13.66378298 10.46249587 13.81922502
  6.51288473 11.31922037 13.60559283  7.76040768 10.68760803  8.45374489]
[17.69905129 27.18344492 15.73883377 15.10710216 17.98966662 11.30281026
 12.3901669  11.0339468  15.67000398 13.46356588 10.31821864 13.63486585
  6.48332696 11.32643295 13.63068647  7.70017424 10.51212482  8.34717757]
[17.98148768 27.16853527 15.76519761 15.1010617  17.90970534 11.29873898
 12.47285852 10.98000148 15.79841561 13.5730859  10.41060133 13.85300809
  6.5125841  11.28225867 13.67491516  7.75353362 10.54150528  8.46225692]
[18.08584172 27.26605895 15.80505504 15.09167092 17.8402179  11.29749447
 12.56443467 10.98624905 15.90908918 13.61830747 10.45354777 13.91142346
  6.52144226 11.26417861 13.77942489  7.78833019 10.50031428  8.49657766]
[17.87115878 27.41278794 15.76902823 15.14217257 17.81702716 11.33772803
 12.38278671 10.84953719 15.78392973 13.63477971 10.38321689 13.90613565
  6.50107704 11.29140373 13.65297189  7.74914332 10.51602094  8.48095548]
[17.88771571 27.25541888 15.68831201 15.14825091 17.86838126 11.29250508
 12.53558569 11.04940133 15.83986184 13.5638139  10.42305742 13.80778039
  6.51537202 11.2760525  13.45572465  7.73552902 10.64074088  8.39486133]
[18.1043866  27.17618491 15.72713108 15.13422885 18.04524502 11.43195682
 12.38907068 11.02179361 15.69876075 13.57441734 10.31457895 13.83709715
  6.51033794 11.34569755 13.63364022  7.70312622 10.57403898  8.49316678]
[17.82971343 27.03356494 15.70753352 15.13169353 17.8784962  11.28461406
 12.35562309 10.99018491 15.62217561 13.32664409 10.30137085 13.5527751
  6.48279262 11.29494327 13.38335573  7.6677525  10.49439718  8.39410613]
[17.92032833 27.06560662 15.72770566 15.14797931 18.01811249 11.22905918
 12.42604672 10.9027607  15.57685106 13.37504166 10.28913854 13.73730841
  6.49308516 11.30750726 13.47306965  7.735042   10.59249267  8.42823335]
[17.91539425 27.22902495 15.70993313 15.20408303 18.1706033  11.35164406
 12.44000196 10.95639041 15.76970841 13.56134311 10.35833746 13.70236146
  6.50141691 11.32153624 13.60431541  7.6966128  10.60894497  8.43092026]
[17.93086052 27.33919627 15.69425507 15.28258225 18.37388654 11.39731783
 12.48015844 10.94323359 15.84318647 13.61010023 10.35977102 13.62575351
  6.50054323 11.34087487 13.65577552  7.67506288 10.64258462  8.42952957]
[17.9313076  26.80769739 15.67454509 15.11583806 18.15523427 11.27620197
 12.42254795 11.09833644 15.60800598 13.38393389 10.32768134 13.62901723
  6.50357794 11.31562656 13.44867217  7.68142269 10.64368323  8.37867208]
[17.88656429 27.26072518 15.74540944 15.13571748 17.90251982 11.32231697
 12.39292996 10.91233687 15.73978305 13.57169964 10.36929437 13.8364393
  6.50169619 11.2976058  13.6016248   7.73209022 10.54827891  8.45520681]
[18.12268657 27.04322093 15.70549743 15.15408004 17.97591381 11.31310051
 12.41594185 10.90321545 15.72859291 13.56520276 10.39775385 13.919451
  6.5232523  11.2781548  13.46768662  7.73342388 10.65191237  8.52287086]
[17.93537341 27.137622   15.68636442 15.09284879 17.94018197 11.29703032
 12.46049005 10.88881531 15.74322182 13.32637625 10.32292706 13.78657005
  6.50444497 11.29199486 13.59283185  7.70839323 10.61546617  8.40221616]
[18.18315508 27.26153421 15.71893109 15.16253365 18.0297939  11.3092673
 12.56687375 11.08880608 15.80916032 13.49562228 10.42486777 14.0528354
  6.52827826 11.31538449 13.57215622  7.75391035 10.68133905  8.44220171]
[18.02013997 27.2486737  15.75098278 15.26088156 18.11086206 11.38833541
 12.60017716 11.01865202 15.82189611 13.55095216 10.51413041 13.849654
  6.51270453 11.32321194 13.57847646  7.68925575 10.67402805  8.46056234]
[18.03587451 27.07146031 15.75830171 15.14683793 18.11953253 11.2852556
 12.4738217  10.90170663 15.74246213 13.42882652 10.40721607 13.8276691
  6.50665397 11.28050215 13.62032427  7.72601417 10.4698736   8.45339452]
[17.90319576 27.23593997 15.63827968 15.15817846 17.96246176 11.46279508
 12.53975475 10.95749995 15.77612033 13.59368593 10.37585257 13.76728261
  6.51811307 11.31487602 13.49439779  7.71153712 10.71981833  8.41459722]
[18.00903062 27.21404721 15.70754005 15.18427997 17.91290445 11.38799336
 12.50023179 11.02922658 15.79987659 13.5241848  10.39899125 13.6854801
  6.50865821 11.3225642  13.5505847   7.70510934 10.70591598  8.47176284]
Out[40]:
Teams Ranks Draft Advantage 2
1 Team Liquid 2.783704 3.540573
4 Vici Gaming 1.789176 3.540573
0 OG 1.767033 3.540573
8 Newbee 1.591374 3.540573
2 PSG.LGD 1.586739 3.540573
3 Team Secret 1.548051 3.540573
11 Fnatic 1.438666 3.540573
14 Natus Vincere 1.431800 3.540573
9 TNC Predator 1.428801 3.540573
6 Royal Never Give Up 1.352719 3.540573
5 Evil Geniuses 1.282752 3.540573
13 Mineski 1.280869 3.540573
7 Infamous Gaming 1.258248 3.540573
16 KEEN GAMING 1.237095 3.540573
10 Virtus.pro 1.222059 3.540573
17 Ninjas in Pyjamas 1.112360 3.540573
15 Chaos Esports Club 1.073208 3.540573
12 Alliance 1.012406 3.540573
In [41]:
Teamhg3
Out[41]:
Teams Ranks Draft Advantage 2
1 Team Liquid 2.783704 3.540573
4 Vici Gaming 1.789176 3.540573
0 OG 1.767033 3.540573
8 Newbee 1.591374 3.540573
2 PSG.LGD 1.586739 3.540573
3 Team Secret 1.548051 3.540573
11 Fnatic 1.438666 3.540573
14 Natus Vincere 1.431800 3.540573
9 TNC Predator 1.428801 3.540573
6 Royal Never Give Up 1.352719 3.540573
5 Evil Geniuses 1.282752 3.540573
13 Mineski 1.280869 3.540573
7 Infamous Gaming 1.258248 3.540573
16 KEEN GAMING 1.237095 3.540573
10 Virtus.pro 1.222059 3.540573
17 Ninjas in Pyjamas 1.112360 3.540573
15 Chaos Esports Club 1.073208 3.540573
12 Alliance 1.012406 3.540573
In [42]:
Teamhg3
Out[42]:
Teams Ranks Draft Advantage 2
1 Team Liquid 2.783704 3.540573
4 Vici Gaming 1.789176 3.540573
0 OG 1.767033 3.540573
8 Newbee 1.591374 3.540573
2 PSG.LGD 1.586739 3.540573
3 Team Secret 1.548051 3.540573
11 Fnatic 1.438666 3.540573
14 Natus Vincere 1.431800 3.540573
9 TNC Predator 1.428801 3.540573
6 Royal Never Give Up 1.352719 3.540573
5 Evil Geniuses 1.282752 3.540573
13 Mineski 1.280869 3.540573
7 Infamous Gaming 1.258248 3.540573
16 KEEN GAMING 1.237095 3.540573
10 Virtus.pro 1.222059 3.540573
17 Ninjas in Pyjamas 1.112360 3.540573
15 Chaos Esports Club 1.073208 3.540573
12 Alliance 1.012406 3.540573
In [43]:
import random
Train = random.sample(range(193), 97)
Train
total = range(193)
Test = []
for i in total:
    if i not in Train:
        Test.append(i)
Test

trainRadiant = games["Radiant"][97:]
trainDire = games["Dire"][97:]
trainWinner = games["Winner"][97:]

trainGames = pd.DataFrame(data = {'Radiant':trainRadiant,'Dire':trainDire,'Winner':trainWinner})
trainGames

testRadiant = games["Radiant"][0:96]
testDire = games["Dire"][0:96]
testWinner = games["Winner"][0:96]

testGames = pd.DataFrame(data = {'Radiant':testRadiant,'Dire':testDire,'Winner':testWinner})
testGames
Out[43]:
Radiant Dire Winner
0 OG Team Liquid 1.0
1 Team Liquid OG 0.0
2 Team Liquid OG 0.0
3 Team Liquid OG 1.0
4 PSG.LGD Team Liquid 0.0
... ... ... ...
91 KEEN GAMING Newbee 1.0
92 Mineski Team Secret 1.0
93 Team Liquid Alliance 1.0
94 TNC Predator Chaos Esports Club 1.0
95 Team Secret Mineski 1.0

96 rows × 3 columns

In [44]:
trainTeamsX = designMatrix(trainGames, index_dict)
trainTeams = BTfit(trainTeamsX, trainGames["Winner"], Teamlist,1)
In [45]:
trainTeams
Out[45]:
Teams Ranks
0 OG [2.840385798173282]
1 Team Liquid [-0.3046810887345014]
2 PSG.LGD [1.9901626442372549]
3 Team Secret [2.892053260280484]
4 Vici Gaming [1.2795604021292535]
5 Evil Geniuses [1.0521698545560705]
6 Royal Never Give Up [-0.975257687074863]
7 Infamous Gaming [1.3314696739609841]
8 Newbee [1.2861607827156005]
9 TNC Predator [1.1424430752350416]
10 Virtus.pro [-0.9771617297025272]
11 Fnatic [0.7043566292250386]
12 Alliance [0.7448658902417994]
13 Mineski [0.2033268315603538]
14 Natus Vincere [1.0352982060976934]
15 Chaos Esports Club [-1.879336589675658]
16 KEEN GAMING [-0.05767535237306112]
17 Ninjas in Pyjamas [-2.259397093942969]
In [46]:
wins = 0
for i in range(len(testGames["Radiant"])):
    li = trainTeams["Ranks"][index_dict[testGames["Radiant"][i]]][0]
    lj = trainTeams["Ranks"][index_dict[testGames["Dire"][i]]][0]
    result = testGames["Winner"][i]
    pi = li/(li + lj)
    if pi >= 0.5 and result ==1:
        wins +=1
    elif pi < 0.5 and result ==0:
        wins +=1
print(wins)
test_accuracy1 = wins/len(testGames["Radiant"])
test_accuracy1

49
Out[46]:
0.5104166666666666
In [ ]:
In [47]:
heroes1 = []
heroes2 = []
i = 0
for game in Stats:
    if i == 0:
        i += 1
    else:
        heroes1.append(Stats[i][2])
        heroes2.append(Stats[i][5])
        i += 1   
heroes1new = []
heroes2new = []
for i in heroes1:
    heroes1new.append(i.split("  "))

for i in heroes2:
    heroes2new.append(i.split("  "))

    
trainHeroes1 = heroes1new[97:]
trainHeroes2 = heroes2new[97:]
testHeroes1 = heroes1new[0:96]
testHeroes2 = heroes2new[0:96]

Matchups1 = []
binWins2 = []
for i in trainHeroes1:
    for j in i:
        Matchups1.append(j)
        Matchups1.append(j)
        Matchups1.append(j)
        Matchups1.append(j)
        Matchups1.append(j)


Matchups2 = []
for i in trainHeroes2:
    for j in range(5):
        Matchups2.append(i[0])
        Matchups2.append(i[1])
        Matchups2.append(i[2])
        Matchups2.append(i[3])
        Matchups2.append(i[4])

    
for i in binWins[97:]:
    for j in range(25):
        binWins2.append(i)

d = {'Radiant':Matchups1, 'Dire':Matchups2, 'Winner':binWins2}
trainHeroGames = pd.DataFrame(data = d)
In [48]:
trainHeroes1X = designMatrix(trainHeroGames, hdict)
trainHeroesSkill1 = BTfit(trainHeroes1X, binWins2, heroes,1)
trainHeroesSkill1
Out[48]:
Teams Ranks
0 Io [1.5893340803550933]
1 Tiny [0.8923347864307171]
2 Abaddon [0.7914379178579968]
3 Timbersaw [0.004149155693118622]
4 Gyrocopter [1.3475426607028447]
... ... ...
110 Spirit Breaker [-0.9442492647232976]
111 Night Stalker [0.45399487590946896]
112 Bounty Hunter [0.41117813217253885]
113 Venomancer [-1.720781771765306]
114 Ember Spirit [-0.9306950065924455]

115 rows × 2 columns

In [49]:
testTeamskill1 = np.zeros(96)
testTeamskill2 = np.zeros(96)

index = 0
for i in testHeroes1:
    for j in i:
        testTeamskill1[index] += trainHeroesSkill1["Ranks"][hdict[j]][0]
    index += 1
index = 0

for i in testHeroes2:
    for j in i:
        testTeamskill2[index] += trainHeroesSkill1["Ranks"][hdict[j]][0]
    index += 1
testTeamskill1
testTeamskill2
Out[49]:
array([ 7.50259507,  3.70739975,  4.48896446,  4.77678582,  6.20031762,
        2.58992321,  5.0605789 ,  4.90023232,  3.69133377,  4.89764381,
        2.86442133,  4.4137556 ,  4.99799713,  5.44349873,  4.84601914,
        5.49829519,  3.84934865,  5.21831539,  4.00776801,  5.26953966,
        4.63358376,  5.07591498,  7.12645345,  5.10212135,  3.92713596,
        2.58734916,  4.74711724,  2.19404583,  5.96307151,  3.90695605,
        6.57073392,  4.81468563,  5.24624681,  4.87174387,  4.63460062,
        5.60926128,  4.83655621,  6.23767846,  7.09666472,  4.69566201,
        4.20979374,  7.03325309,  3.67504091,  5.7823187 ,  5.51268422,
        5.5651508 ,  4.65577811,  6.33620983,  4.9823792 ,  3.93941145,
        4.24558141,  6.69749662,  3.44045285,  5.03213711,  5.19486685,
        5.10170913,  2.9431028 ,  5.00415241,  2.64353904,  2.70474954,
        2.42812053,  5.37805911,  6.67866348,  3.57942337,  5.3583989 ,
        4.90752767,  2.33219614,  4.522563  ,  3.18065437,  5.47744195,
        5.55529756,  4.37895552,  4.04000139,  4.52805853,  4.51325908,
        3.68801967,  4.14850202,  4.34667202,  5.71785857,  4.56131751,
        5.87486464,  2.7982419 ,  6.25290854,  4.33664185,  5.62143533,
       -0.47220756,  5.52597646,  4.64068376,  5.08854354,  6.35191604,
        5.16499813,  6.10362645,  4.71597231,  4.12724136, -0.69889557,
        4.45188802])
In [50]:
testTeamwin1 = 0
for i in range(96):
    prob = testTeamskill1[i]/(testTeamskill1[i]+testTeamskill2[i])
    result = testGames["Winner"][i]
    if prob < 0.5 and result ==0:
        testTeamwin1 += 1
    if prob >= 0.5 and result ==1:
        testTeamwin1 += 1
test_accuracy2 = testTeamwin1/len(testGames["Radiant"])
test_accuracy2
Out[50]:
0.5
In [51]:
k = len(hdict.keys())
r = []

r = np.array(trainWinner)
m = len(r)



Ip = np.zeros((m,k))
I = np.zeros((m,k))
l = 0
for i in trainHeroes1:
    for j in i:
        if trainGames["Winner"][97+l] == 1:
            Ip[l,hdict[j]] = 1
        I[l,hdict[j]] = 1
    l+=1

l = 0
for i in trainHeroes2:
    for j in i:
        if trainGames["Winner"][97+l] == 0:
            Ip[l,hdict[j]] = 1
        I[l,hdict[j]] = 1
    l += 1  


trainHeroesSkill2 = BTfit2(I,Ip,r,k,10,heroes)

[2.79273355e-01 6.44402312e-02 1.98623614e-01 9.31682745e-01
 8.54413568e-01 9.54734735e-01 5.22533482e-02 5.79471681e-01
 4.80496267e-01 2.17089790e-02 3.73620464e-01 4.14091801e-01
 6.03907234e-01 6.71748727e-01 8.38865700e-01 7.79526208e-01
 4.00701044e-01 7.94529231e-01 8.93124310e-01 2.62489691e-01
 9.89197007e-01 8.53307099e-01 7.31477156e-01 3.55565625e-01
 8.83289491e-01 8.67959091e-01 9.55766446e-01 1.07256520e-04
 1.65410419e-02 3.14070057e-01 9.95316175e-01 1.48844223e-01
 1.67377119e-01 7.58572037e-01 6.95296662e-02 7.05473439e-01
 4.69165282e-01 1.01882161e-02 7.74823863e-01 7.94201008e-01
 1.49569452e-01 2.37036318e-02 7.62063771e-01 2.23670180e-01
 2.62174398e-01 4.56869503e-01 2.49926919e-01 5.68283562e-01
 8.46942997e-01 3.78099537e-01 4.32465116e-01 8.32619176e-01
 3.71131936e-01 4.05532719e-02 5.54671486e-01 4.51246243e-01
 7.25300977e-01 3.78450522e-01 8.40662496e-01 4.69314694e-01
 5.62643429e-01 6.61199339e-01 4.62241868e-01 6.23636945e-01
 2.21880631e-01 7.32863117e-01 3.81682089e-01 1.94834542e-01
 2.71162775e-01 2.49225052e-01 1.52139062e-01 7.71373704e-01
 2.55411732e-01 1.27543405e-01 6.65167153e-01 4.12804949e-01
 6.67767766e-01 6.59813517e-01 3.05377672e-01 2.01224241e-01
 2.22027126e-01 1.19970863e-01 3.71454410e-02 3.41315835e-02
 2.30496548e-01 2.28353706e-01 6.24910622e-01 8.92561185e-01
 7.79728016e-01 7.21451269e-01 3.10442159e-01 3.63083416e-01
 1.96081784e-01 9.35491798e-01 5.61734000e-01 8.17291537e-01
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c:\users\rowan\appdata\local\programs\python\python37\lib\site-packages\ipykernel_launcher.py:62: RuntimeWarning: invalid value encountered in double_scalars
In [52]:
testTeamskill3 = np.zeros(96)
testTeamskill4 = np.zeros(96)

index = 0
for i in testHeroes1:
    for j in i:
        testTeamskill3[index] += trainHeroesSkill2["Ranks"][hdict[j]]
    index += 1
index = 0

for i in testHeroes2:
    for j in i:
        testTeamskill4[index] += trainHeroesSkill2["Ranks"][hdict[j]]
    index += 1
testTeamskill3
testTeamskill4

testTeamwin2 = 0
for i in range(96):
    prob = testTeamskill3[i]/(testTeamskill3[i]+testTeamskill4[i])
    result = testGames["Winner"][i]
    if prob < 0.5 and result ==0:
        testTeamwin2 += 1
    if prob >= 0.5 and result ==1:
        testTeamwin2 += 1
test_accuracy3 = testTeamwin2/len(testGames["Radiant"])
test_accuracy3
Out[52]:
0.5520833333333334
In [53]:
wincounts = np.zeros(len(Teamlist))
index = 97
for i in trainGames["Radiant"]:
    if trainGames["Winner"][index] == 1:
        wincounts[index_dict[i]] += 1
    index+=1

index = 97
for i in trainGames["Dire"]:
    if trainGames["Winner"][index] == 0:
        wincounts[index_dict[i]] += 1
    index+=1
    
wincounts
Out[53]:
array([11.,  3., 10.,  9.,  7.,  6.,  3.,  5.,  5.,  6.,  3.,  5.,  5.,
        5.,  7.,  1.,  4.,  1.])
In [73]:
trainTeamskill1 = np.zeros(m)
trainTeamskill2 = np.zeros(m)

index = 0
for i in trainHeroes1:
    for j in i:
        trainTeamskill1[index] += trainHeroesSkill1["Ranks"][hdict[j]][0]
    index += 1
index = 0

for i in trainHeroes2:
    for j in i:
        trainTeamskill2[index] += trainHeroesSkill1["Ranks"][hdict[j]][0]
    index += 1

trainTeamskill3 = np.zeros(m)
trainTeamskill4 = np.zeros(m)

index = 0
l = 97
for i in trainHeroes1:
    for j in i:
        if trainGames["Winner"][l] == 1:
            trainTeamskill3[index] += trainHeroesSkill2["Ranks"][hdict[j]]
        trainTeamskill4[index] += trainHeroesSkill2["Ranks"][hdict[j]]
    index += 1
    l += 1
    
index = 0
l = 97
for i in trainHeroes2:
    for j in i:
        if trainGames["Winner"][l] == 0:
            trainTeamskill3[index] += trainHeroesSkill2["Ranks"][hdict[j]]
        trainTeamskill4[index] += trainHeroesSkill2["Ranks"][hdict[j]]
    index += 1
    l += 1
    
trainTeamwin1 = np.zeros(m)
for i in range(m):
    prob = trainTeamskill1[i]/(trainTeamskill1[i] + trainTeamskill2[i])
    if prob >= 0.5:
        trainTeamwin1[i] = 1    

trainTeamwin2 = np.zeros(m)
for i in range(m):
    if (trainTeamskill3[i]/trainTeamskill4[i]) > 0.5:
        trainTeamwin2[i] = 1

trainGames["Team Winner"] =trainTeamwin1
trainGames["Team Winner 2"] = trainTeamwin2

k = len(index_dict.keys())
aij = np.zeros((k,k))
bij = np.zeros((k,k))
l = 97

for i in trainGames["Radiant"]:
    j = trainGames["Dire"][l]
    if trainGames["Team Winner"][l] == 1:
        aij[index_dict[i]][index_dict[j]]+=1
    else:
        bij[index_dict[i]][index_dict[j]]+=1
    l+=1
nij = aij + bij
c = sum(trainGames["Team Winner"])

np.random.seed(12345)
x0 = np.random.rand(k+1)
x0[-1] = 1
res = minimize(BTloglik, x0, method = 'nelder-mead')

data = {"Teams":Teamlist, "Ranks":np.exp(res.x[:-1]),"Draft Advantage 1":np.exp(res.x[-1])}


Teamhg3 = pd.DataFrame(data)


k = len(index_dict.keys())
aij = np.zeros((k,k))
bij = np.zeros((k,k))
l = 97
for i in trainGames["Radiant"]:
    j = trainGames["Dire"][l]
    if trainGames["Team Winner 2"][l] == 1:
        aij[index_dict[i]][index_dict[j]]+=1
    else:
        bij[index_dict[i]][index_dict[j]]+=1
    l+=1
nij = aij + bij
c = sum(trainGames["Team Winner 2"])

np.random.seed(12345)
x0 = np.random.rand(k+1)
x0[-1] = 1
res = minimize(BTloglik, x0, method = 'nelder-mead')
data = {"Teams":Teamlist, "Ranks":res.x[:-1]/np.min(res.x[:-1]),"Draft Advantage 2":res.x[-1]}

Teamhg4 = pd.DataFrame(data)

[25.15272366 15.34087505 13.22156716 13.55183063 19.36246664 19.80758143
 25.71109849 20.72969973 22.26137238 20.73598411 22.24230313 25.65977395
 10.41307894 11.9819762  15.0581256  20.78144511 23.23586702 24.2336808 ]
[25.94289734 15.38735586 13.26804797 13.59831144 19.40894745 19.85406223
 25.7575793  20.77618053 22.30785318 20.78246492 22.28878393 25.70625476
 10.45955975 12.02845701 15.1046064  20.82792591 23.28234782 24.2801616 ]
[25.16854244 15.60979427 13.23738594 13.56764941 19.37828542 19.8234002
 25.72691727 20.74551851 22.27719116 20.75180289 22.2581219  25.67559273
 10.42889772 11.99779498 15.07394438 20.79726388 23.2516858  24.24949958]
[25.1619196  15.35007099 13.37789815 13.56102658 19.37166258 19.81677737
 25.72029443 20.73889567 22.27056832 20.74518005 22.25149907 25.6689699
 10.42227489 11.99117215 15.06732154 20.79064105 23.24506296 24.24287674]
[25.16295168 15.35110307 13.23179518 13.72570687 19.37269466 19.81780944
 25.72132651 20.73992774 22.27160039 20.74621213 22.25253114 25.67000197
 10.42330696 11.99220422 15.06835361 20.79167312 23.24609503 24.24390881]
[25.18110991 15.3692613  13.24995342 13.58021689 19.84503292 19.83596768
 25.73948475 20.75808598 22.28975863 20.76437036 22.27068938 25.68816021
 10.4414652  12.01036246 15.08651185 20.80983136 23.26425327 24.26206705]
[25.1825009  15.37065229 13.2513444  13.58160787 19.39224388 20.31379442
 25.74087573 20.75947696 22.29114961 20.76576135 22.27208036 25.68955119
 10.44285618 12.01175344 15.08790283 20.81122234 23.26564425 24.26345803]
[25.20094939 15.38910078 13.26979289 13.60005636 19.41069237 19.85580715
 26.53093584 20.77792545 22.3095981  20.78420984 22.29052885 25.70799968
 10.46130467 12.03020193 15.10635132 20.82967083 23.28409274 24.28190652]
[25.18538252 15.37353391 13.25422602 13.58448949 19.3951255  19.84024028
 25.74375735 21.28490026 22.29403123 20.76864297 22.27496198 25.69243281
 10.4457378  12.01463506 15.09078445 20.81410396 23.26852587 24.26633965]
[25.19016899 15.37832038 13.2590125  13.58927597 19.39991197 19.84502676
 25.74854383 20.76714506 22.89794302 20.77342944 22.27974846 25.69721929
 10.45052428 12.01942154 15.09557093 20.81889044 23.27331235 24.27112613]
[25.18540216 15.37355354 13.25424566 13.58450913 19.39514514 19.84025992
 25.74377699 20.76237822 22.29405087 21.2915185  22.27498162 25.69245245
 10.44575744 12.0146547  15.09080409 20.8141236  23.26854551 24.26635929]
[25.1901094  15.37826079 13.25895291 13.58921638 19.39985238 19.84496717
 25.74848423 20.76708547 22.29875812 20.77336985 22.87786071 25.6971597
 10.45046469 12.01936195 15.09551134 20.81883085 23.27325276 24.27106654]
[25.200789   15.38894039 13.2696325  13.59989597 19.41053198 19.85564676
 25.75916383 20.77776506 22.30943772 20.78404945 22.29036846 26.47688468
 10.46114428 12.03004154 15.10619093 20.82951044 23.28393236 24.28174613]
[25.15314308 15.34129447 13.22198658 13.55225005 19.36288606 19.80800084
 25.71151791 20.73011914 22.26179179 20.73640353 22.24272254 25.66019337
 10.420209   11.98239562 15.05854501 20.78186452 23.23628643 24.23410021]
[25.15804588 15.34619727 13.22688938 13.55715285 19.36778886 19.81290364
 25.71642071 20.73502195 22.2666946  20.74130633 22.24762534 25.66509617
 10.41840116 12.07245393 15.06344782 20.78676733 23.24118924 24.23900302]
[25.16765885 15.35581024 13.23650235 13.56676582 19.37740183 19.82251661
 25.72603368 20.74463491 22.27630756 20.7509193  22.25723831 25.67470914
 10.42801413 11.99691139 15.31202375 20.79638029 23.2508022  24.24861598]
[25.18554422 15.37369561 13.25438772 13.58465119 19.3952872  19.84040198
 25.74391905 20.76252029 22.29419294 20.76880467 22.27512369 25.69259451
 10.4458995  12.01479676 15.09094616 21.33939461 23.26868758 24.26650136]
[25.19321429 15.38136568 13.26205779 13.59232126 19.40295727 19.84807205
 25.75158912 20.77019036 22.30186301 20.77647474 22.28279375 25.70026458
 10.45356957 12.02246683 15.09861623 20.82193573 23.92420769 24.27417142]
[25.19633246 15.38448385 13.26517596 13.59543943 19.40607544 19.85119022
 25.75470729 20.77330852 22.30498117 20.77959291 22.28591192 25.70338275
 10.45668774 12.025585   15.10173439 20.8250539  23.27947581 24.97503032]
[25.94289734 15.60979427 13.37789815 13.72570687 19.84503292 20.31379442
 26.53093584 21.28490026 22.89794302 21.2915185  22.87786071 26.47688468
 10.420209   12.07245393 15.31202375 21.33939461 23.92420769 24.97503032]
[25.32052117 15.40187358 13.25949767 13.59335596 19.46723897 19.91719869
 25.88497374 20.84935397 22.39769841 20.85570675 22.37842159 25.83309055
 10.42043991 12.00641414 15.11604648 20.90166258 23.38280012 23.61597512]
[25.32854167 15.39861848 13.25380711 13.58804493 19.46860541 19.91907665
 25.03553088 20.85229161 22.40239622 20.85865162 22.3830975  25.84169375
 10.41152189 11.99929906 15.11246646 20.90465969 23.38861781 24.24285948]
[25.3927389  15.40351384 13.24589357 13.58212747 19.49780688 19.95096835
 24.28071432 20.88975651 22.4491184  20.8961545  22.42970442 25.90895554
 10.38663411 11.98389355 15.1156529  20.94243733 23.44122974 24.2229955 ]
[25.36581236 15.41718132 13.26832914 13.60319666 19.49483605 19.94615597
 25.67364422 20.8811291  22.43415409 20.88750109 22.414819   25.8799312
 10.42068909 12.01145762 15.13049019 20.3490364  23.42223371 24.25363793]
[24.54129505 15.15862324 13.13201529 13.44783282 19.00430773 19.4299529
 24.80615904 20.31173713 21.7764134  20.31774663 21.75817825 25.02616662
 10.44637222 11.94664487 14.88824143 20.25075959 22.70828299 23.47462123]
[25.23163402 15.36902698 13.23875553 13.57072752 19.41142297 19.85884041
 25.4805153  20.785729   22.32532526 20.79204589 21.64702346 25.74130737
 10.41573851 11.99275195 15.08481481 20.70951006 23.30486114 24.08978516]
[25.23253017 15.36460859 13.23318924 13.56534011 19.40918286 19.8568414
 25.44894202 20.78422944 22.32465533 20.79054974 22.17336221 25.74247816
 10.40865101 11.98651424 15.08024328 20.69458577 22.59107243 24.06730782]
[25.24527214 15.37148292 13.23879619 13.57114456 19.41846217 19.86638689
 25.42582086 20.21891824 22.33566822 20.80065043 22.17050852 25.75552336
 10.41257844 11.99137989 15.08694852 20.68985486 23.17327827 24.05423362]
[25.25469687 15.37443006 13.2403442  13.57291061 19.42406428 19.34785045
 25.39563685 20.68550618 22.34318414 20.80715931 22.16270968 25.76528283
 10.41227235 11.99210955 15.08970899 20.67998316 23.16644289 24.03514627]
[25.24200462 15.35458779 13.21895756 13.55176463 19.4071526  19.75059165
 25.33920251 20.65750647 22.32838493 20.79124853 22.13099762 24.90680631
 10.38883912 11.96981961 15.06966067 20.64598247 23.13579449 23.99096706]
[25.25798492 15.36267692 13.22534225 13.55841493 19.41847609 19.75126511
 25.30688027 20.65658539 21.68315842 20.80367667 22.12597652 25.5997744
 10.39296508 11.97520735 15.07752241 20.63843477 23.1319475  23.9721782 ]
[25.29113617 15.35459766 13.20835741 13.5428179  19.42729602 19.70433695
 25.08720068 20.60130414 21.07988465 20.81826827 22.04922346 25.5509083
 10.36417866 11.95301361 15.068255   20.54846787 23.06133252 23.82334658]
[25.27377684 15.36541274 13.22525801 13.55877016 19.42656322 19.74171771
 25.2426934  20.64439687 22.15598175 20.23904254 22.10699775 25.58962196
 10.38914374 11.97347365 15.07988198 20.61527398 23.11491178 23.93040109]
[25.3190404  15.40062058 13.25829387 13.59214449 19.46589261 19.76745333
 25.22630572 20.66809582 22.1775738  20.73920132 22.12546122 25.61488616
 10.41930131 12.00523912 15.11480005 20.63051505 23.13487217 23.931289  ]
[24.46881649 15.35547063 13.21074829 13.54497223 19.42528862 19.71184378
 25.12419412 20.61023732 22.11738831 20.68811751 22.06182231 25.5587511
 10.36858104 11.95629231 15.06933049 20.56332045 23.07288475 23.84824796]
[25.16414608 15.10836727 13.23855988 13.57319551 19.46075492 19.73074833
 25.09176921 20.62665878 22.13123988 20.71201603 22.07186247 25.57706943
 10.39289183 11.98255875 15.09943138 20.56943784 23.08474655 23.83687234]
[25.14965586 15.31940849 13.22473633 13.55982581 18.95771731 19.70708719
 25.011458   20.60025633 22.10199955 20.69386454 22.03841624 25.55275372
 10.37520878 11.96703172 15.08813166 20.53166472 23.05330921 23.77979108]
[25.17166927 15.33958973 13.24750438 13.58309408 19.38775087 19.71899072
 24.9608491  20.60913385 22.10774353 20.71184549 22.03951982 25.56392569
 10.39372308 11.89470146 15.11368138 20.52799671 23.05662764 23.75481453]
[25.16227388 15.32819247 13.23896481 13.57510566 19.37907758 19.69845351
 24.87134232 20.58525681 22.08040686 20.6980105  22.00706431 25.54257003
 10.38049667 11.95864213 14.84687625 20.49028048 23.02661341 23.6935859 ]
[25.17750088 15.34123518 13.25516429 13.59191219 19.39511484 19.70140526
 24.79821495 20.58452294 22.07585376 20.70835176 21.99686582 25.5446051
 10.38420333 11.97062081 15.07544367 20.47428355 23.01910496 23.65164942]
[25.18771179 15.34046605 13.27093823 13.61083689 19.40978905 19.64784981
 24.34783511 20.51171714 21.98307598 20.69327739 21.87466087 25.48602901
 10.36628688 11.96444418 15.08303262 20.32191342 22.91088137 23.36392045]
[24.99644675 15.27422884 13.21851041 13.55226038 19.28467215 19.56500937
 24.4712248  20.43127661 21.89824743 20.572485   21.81059047 25.33668839
 10.37818702 11.94215808 15.01434654 20.29636246 22.82517195 24.22709609]
[25.13546348 15.31659408 13.24483075 13.40459341 19.36944715 19.63661412
 24.49793547 20.50678406 21.98330344 20.66279865 21.88794763 25.46298491
 10.37056257 11.95101542 15.05614226 20.35204206 22.9156034  23.61377127]
[25.13320179 15.31390989 13.08740799 13.54998154 19.36986965 19.61863164
 24.37205777 20.48340413 21.95417601 20.65489343 21.85093643 25.44215292
 10.36614594 11.94774462 15.0557713  20.30731968 22.88208497 23.54925305]
[25.82340164 15.52485399 13.32976425 13.67794411 19.78245615 20.02024166
 25.19470929 20.92039926 22.45566141 21.11967527 22.33749173 26.12410319
 10.33369417 11.9938398  15.25703412 20.84224302 23.42329703 24.31075461]
[25.04083901 15.27475953 13.19605138 13.52638024 19.31582546 19.51873468
 24.32507574 20.36568705 21.81444578 20.57362645 21.69272393 25.30320542
 10.35013612 11.92576846 15.023637   20.79396003 22.72661814 23.55245624]
[25.15633222 15.31359729 13.2218611  13.55495469 19.39047526 19.56927022
 24.38775948 20.41528407 21.8673029  20.64644686 22.45711416 25.39481667
 10.34819859 11.9377028  15.06374828 20.45335271 22.7804498  23.65693468]
[25.14747416 15.31265986 13.22622479 13.55923951 19.39076075 19.54112637
 24.30786083 20.3781121  21.82003741 20.63284579 21.96437789 25.35722334
 10.34892298 11.93880348 15.06658196 20.44289821 23.50892266 23.6362429 ]
[25.10453022 15.28645641 13.22235502 13.55578498 19.38099652 19.38426167
 23.74244609 20.17648743 21.56962377 20.5541221  21.86023294 25.16573897
 10.31905199 11.91482028 15.05933141 20.31768012 23.96225787 23.42215549]
[25.12001041 15.29686255 13.21888983 13.55182257 19.3775791  19.48095572
 24.15387532 20.93445963 21.72857875 20.59688202 21.93456881 25.28227334
 10.33515134 11.92588544 15.05698478 20.40844567 23.01418913 23.58276   ]
[25.09651072 15.28577806 13.21507847 13.54783341 19.36712167 20.00946254
 24.05356336 20.4975323  21.6566348  20.56834562 21.91835751 25.22190705
 10.32734009 11.91818992 15.05078891 20.38973904 23.00498171 23.55423109]
[25.09401273 15.29841292 13.2360578  13.56856878 19.37987263 19.63709772
 23.9748259  20.5087016  21.60099729 20.56091343 21.92768575 26.10714309
 10.34430061 11.93505324 15.06886863 20.39676111 23.0218427  23.55241685]
[24.90962188 15.23725021 13.20618163 13.53478897 19.27401557 19.40662988
 24.97175888 20.24058399 21.39992695 20.42118618 21.58302457 25.13414407
 10.34201405 11.91519949 15.0158652  20.05150637 22.67713471 23.25692738]
[24.99291241 15.26313707 13.22662973 13.55753319 19.33209476 19.57777072
 24.01107629 20.43935398 21.60417298 21.09177521 21.84389702 25.40229631
 10.33458104 11.92012992 15.04696602 20.31094831 22.95254133 23.47174163]
[24.91358525 15.2135387  13.190282   13.5205419  19.2788129  19.53209086
 23.89951069 20.39159522 21.52233427 20.63303839 21.79578544 25.35469743
 10.29550761 11.87942777 15.00496348 20.26203592 22.91336446 23.42236696]
[25.80343127 15.24383644 13.23570642 13.56518134 19.30414626 19.56880033
 23.87254156 20.42645153 21.51995474 20.67836621 21.83139723 25.38940069
 10.3385382  11.9203096  15.04372626 20.29746144 22.95853555 23.46042069]
[25.18103795 15.50296042 13.20764013 13.53616579 19.2523483  19.53286602
 23.77629956 20.38895946 21.44176862 20.65098413 21.7960061  25.35137591
 10.30850828 11.88751893 15.00783992 20.26263615 22.93336512 23.43196963]
[25.19897492 15.31301786 13.21972161 13.54710738 19.78288669 19.53819742
 23.72607862 20.39311046 21.40143172 20.66469661 21.80387931 25.35453623
 10.31917222 11.89470388 15.01076912 20.27198784 22.95215888 23.45220399]
[25.22262476 15.30941962 13.21687419 13.54043558 20.19077731 19.45401835
 23.08907686 20.28996544 21.05400003 20.64964494 21.68712821 25.25564568
 10.29116465 11.85857934 14.97204853 20.14284301 22.9013984  23.28933642]
[25.182534   15.28974154 13.19380819 13.51943008 19.44051244 19.49839075
 23.57875377 20.35059515 21.28447968 20.64027264 21.76559094 25.31093654
 10.28986335 11.96266051 14.97038896 20.2349661  22.93249787 23.42789623]
[25.19426447 15.29717051 13.19766795 13.52163102 19.45583578 19.49784267
 23.53122729 20.34971473 21.22765123 20.64812854 21.77253448 25.30790839
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c:\users\rowan\appdata\local\programs\python\python37\lib\site-packages\ipykernel_launcher.py:23: RuntimeWarning: invalid value encountered in log

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[16.31242322 10.80853573 11.00628916 18.13755136 16.68446868  9.89082298
  8.04684889 10.91795033 10.6966613  11.51566732  7.88425116 13.94469015
  5.91163278 13.96833176 12.43635211  5.83885326  8.08198574  6.29248613]
[15.89433826 10.736144   10.85539086 17.89673473 16.50557426  9.77632475
  7.89823028 10.92091152 10.5839404  11.52327018  7.82235791 13.55440596
  5.89912251 13.83537408 12.41433432  5.80795903  8.13324599  6.23683553]
[15.99893059 10.77688099 10.84256325 17.80549891 16.35816855  9.89998611
  7.84065641 10.83492102 10.51363659 11.46106244  7.81660381 13.70531018
  5.89289608 14.01300217 12.36734331  5.78568843  8.07853803  6.23112237]
[15.72813857 10.71293573 10.8330148  17.80609476 16.2923213   9.88027288
  7.91760223 10.76909041 10.47616971 11.27723525  7.73587864 13.47657114
  5.87344178 13.90559589 12.35356649  5.77517869  8.00537195  6.20048099]
[16.15056573 10.78134533 10.92478252 18.02183528 16.65080327  9.79490166
  7.9423792  10.97386401 10.66689796 11.61833095  7.88412994 13.76734282
  5.91441038 13.88361329 12.44347726  5.83157942  8.16035498  6.27432482]
[16.04906778 10.79708658 10.90277467 17.89141322 16.55529832  9.99549198
  7.97316273 10.88099452 10.66081742 11.49503317  7.84931858 13.74491756
  5.91647553 13.86593685 12.45126931  5.84230282  8.1355421   6.2677731 ]
[16.00590822 10.6724904  10.78915638 17.8897476  16.4081164   9.80911112
  7.95307622 10.7849735  10.54063165 11.59878047  7.76298431 13.65586286
  5.89774333 13.94564106 12.51592666  5.76935058  8.09003303  6.28960876]
[16.02519442 10.80225132 10.94241819 17.97226248 16.59466204  9.85148528
  7.93193499 10.95817313 10.64193663 11.46969303  7.87049118 13.69267355
  5.90509114 13.86389637 12.376661    5.83664031  8.12349883  6.23658807]
[16.12271561 10.71851637 10.87142255 17.98590176 16.48859533  9.70402443
  7.96367512 10.94168354 10.56577548 11.53423964  7.93154464 13.75675215
  5.91068538 13.86924589 12.44728058  5.83292063  8.14817702  6.31695722]
[16.07343564 10.73878289 10.88208692 17.96698835 16.51093076  9.76777446
  7.95176551 10.92341737 10.58672971 11.52300652  7.88629665 13.72073277
  5.90691319 13.87903432 12.4346949   5.82454095  8.13139353  6.28672219]
[16.0653971  10.69619788 10.86137849 18.08117387 16.57749398  9.86555313
  7.95628848 10.79873432 10.54840605 11.51344074  7.76989858 13.51967739
  5.88618129 13.90209169 12.52103507  5.78137504  8.046098    6.18486932]
[16.00987663 10.78442819 10.90537456 17.89255636 16.51280526  9.81266474
  7.93369792 10.95172627 10.63149521 11.51181107  7.87448763 13.75743982
  5.91067995 13.8824463  12.38079155  5.83161155  8.14497276  6.28911921]
[15.80632098 10.7526705  10.93687594 17.95876951 16.68475475  9.84543934
  7.92238349 10.95463171 10.5728039  11.53560927  7.88024176 13.66817288
  5.90579688 13.73858457 12.45957198  5.84447684  8.10911703  6.22250055]
[15.96885791 10.67769815 10.88079484 17.97118039 16.41930168  9.84926902
  7.90916777 10.84690405 10.49903578 11.51528618  7.84691431 13.64798134
  5.89917572 13.73595145 12.34299502  5.84095761  8.08472783  6.24429879]
[16.01349932 10.71243279 10.91645992 18.15325495 16.61402487  9.83226429
  7.95352446 10.91990668 10.57193878 11.43379602  7.80728744 13.91099048
  5.90054149 13.85039538 12.48730979  5.80262693  8.14713666  6.28329736]
[16.00918109 10.71057292 10.95601642 18.1584072  16.74648033  9.75853806
  8.04493289 10.98048201 10.67499107 11.55765708  7.86953989 13.69438893
  5.91336343 13.69175543 12.49184865  5.85562404  8.15326857  6.28160944]
[16.00149712 10.76024197 10.87098854 17.89397048 16.45551174  9.86450812
  7.89184252 10.87139536 10.55406937 11.48526304  7.82985051 13.7025634
  5.89799838 13.93246103 12.39854309  5.8031916   8.09724902  6.24375113]
[16.09966314 10.7398266  10.95635001 18.18075921 16.67151728  9.80912947
  7.94954219 10.93115533 10.58060115 11.53664371  7.84134654 13.79273126
  5.8965898  13.90346841 12.45662697  5.81816945  8.11472852  6.31252072]
[16.24338068 10.73427784 10.86604764 18.03935008 16.41933241  9.81018929
  7.96232478 10.85659856 10.61185448 11.4831803   7.79998444 13.75377105
  5.89838155 13.99651621 12.39855777  5.79200495  8.12150946  6.3042556 ]
[16.13345952 10.73898052 10.88396143 18.0192607  16.48637064  9.81912074
  7.95228018 10.88136511 10.60208481 11.49647106  7.8202149  13.73233594
  5.90022675 13.93167474 12.41402863  5.80519792  8.11840749  6.28364642]
[15.82056391 10.75266427 10.90637805 17.87083079 16.39496074  9.75248919
  7.86162255 10.91275217 10.60802066 11.37854553  7.79099962 13.69082946
  5.8923875  13.82499213 12.247177    5.80588798  8.0870078   6.2647925 ]
[16.13345862 10.7463578  10.91123721 18.07298598 16.66571969  9.86085089
  7.95739944 10.91486753 10.66902964 11.52674549  7.87636509 13.82286448
  5.9184179  13.80152568 12.52597568  5.82400373  8.15925299  6.30104898]
[16.25149724 10.74832212 10.92059842 18.15407873 16.79029531  9.8994007
  7.97871961 10.92376173 10.74018093 11.55553352  7.91602263 13.93030509
  5.93493817 13.74015983 12.6352079   5.83109701  8.20352695  6.33609607]
[16.08007761 10.75850121 10.81309116 17.84367599 16.47203879  9.87048663
  7.90224629 10.83114889 10.57262622 11.50685087  7.84638139 13.73762941
  5.90892474 13.9623346  12.515298    5.83893195  8.10602613  6.23718118]
[16.11935634 10.73711709 10.86969834 17.96173052 16.47610006  9.914792
  7.88777112 10.92619602 10.49194103 11.6597004   7.88659978 13.81867126
  5.91072717 13.89620808 12.40385701  5.83125564  8.18498542  6.26637606]
[15.98730766 10.74955582 10.90416358 17.9898193  16.5675483   9.79175749
  7.95351583 10.88771005 10.6443307  11.43180844  7.81922227 13.68115182
  5.90014137 13.85823955 12.44266884  5.81423103  8.08664786  6.26417124]
[15.95815176 10.68922874 10.85094491 17.9898179  16.39579839  9.76378418
  7.91994564 10.87146826 10.57017264 11.35854528  7.80345162 13.71438012
  5.89814432 13.79668623 12.38315103  5.81685504  8.12861811  6.29042725]
[15.87541279 10.74542824 10.88973725 17.85122655 16.45013894  9.83479477
  7.90958399 10.93042362 10.57627196 11.50048749  7.88865513 13.525448
  5.90492305 13.75258933 12.33677248  5.82393298  8.13674559  6.29075168]
[16.00189995 10.77139193 10.85928496 17.76760744 16.41205438  9.81744104
  7.90290245 10.87874199 10.61363661 11.55319591  7.8797041  13.47875102
  5.90600293 13.85459619 12.34050171  5.83852583  8.09130381  6.25451954]
[15.92791217 10.72741792 10.96731882 18.06738757 16.54713637  9.77396871
  7.95404646 10.97242559 10.61778631 11.48614763  7.84471144 13.62299448
  5.89740087 13.73220153 12.29400278  5.80247628  8.13068022  6.30226382]
[16.04197333 10.75072053 10.85173014 17.89972958 16.49086342  9.8463137
  7.91522382 10.86654373 10.58394393 11.50167133  7.84596482 13.7089233
  5.90603727 13.904697   12.45987236  5.82979908  8.11220396  6.25348374]
In [74]:
Teamhg4
Out[74]:
Teams Ranks Draft Advantage 2
0 OG 16.105615 1.26173
1 Team Liquid 8.212330 1.26173
2 PSG.LGD 8.453914 1.26173
3 Team Secret 18.947449 1.26173
4 Vici Gaming 16.885495 1.26173
5 Evil Geniuses 6.914868 1.26173
6 Royal Never Give Up 4.125893 1.26173
7 Infamous Gaming 8.459233 1.26173
8 Newbee 8.099027 1.26173
9 TNC Predator 9.355769 1.26173
10 Virtus.pro 4.007160 1.26173
11 Fnatic 12.720087 1.26173
12 Alliance 1.138338 1.26173
13 Mineski 12.688821 1.26173
14 Natus Vincere 10.819861 1.26173
15 Chaos Esports Club 1.000000 1.26173
16 KEEN GAMING 4.421653 1.26173
17 Ninjas in Pyjamas 1.698976 1.26173
In [56]:
testTeamskill1 = np.zeros(m)
testTeamskill2 = np.zeros(m)

index = 0
for i in testHeroes1:
    for j in i:
        testTeamskill1[index] += trainHeroesSkill1["Ranks"][hdict[j]][0]
    index += 1
index = 0

for i in testHeroes2:
    for j in i:
        testTeamskill2[index] += trainHeroesSkill1["Ranks"][hdict[j]][0]
    index += 1

testTeamskill3 = np.zeros(m)
testTeamskill4 = np.zeros(m)

index = 0
for i in testHeroes1:
    for j in i:
        if testGames["Winner"][index] == 1:
            testTeamskill3[index] += trainHeroesSkill2["Ranks"][hdict[j]]
        testTeamskill4[index] += trainHeroesSkill2["Ranks"][hdict[j]]
    index += 1
index = 0

for i in testHeroes2:
    for j in i:
        if testGames["Winner"][index]==0:
            testTeamskill3[index]+= trainHeroesSkill2["Ranks"][hdict[j]]
        testTeamskill4[index] += trainHeroesSkill2["Ranks"][hdict[j]]
    index += 1
    
testTeamwin1 = np.zeros(m)
for i in range(m):
    prob = testTeamskill1[i]/(testTeamskill1[i]+testTeamskill2[i])
    if prob >= 0.5:
        testTeamwin1[i] = 1    

testTeamwin2 = np.zeros(m)
for i in range(m):
    if testTeamskill3[i]/(testTeamskill4[i]) > 0.5:
        testTeamwin2[i] = testGames["Winner"][i]

testGames["Team Winner"] = testTeamwin1
testGames["Team Winner 2"] = testTeamwin2


wins = 0
for i in range(len(testGames["Radiant"])-1):
    li = Teamhg3["Ranks"][index_dict[testGames["Radiant"][i]]]
    lj = Teamhg3["Ranks"][index_dict[testGames["Dire"][i]]]
    result = testGames["Winner"][i]
    if testGames["Team Winner"][i]== 1:
        """Radiant is home team"""
        pi = Teamhg3["Draft Advantage 1"][0]*li/(Teamhg3["Draft Advantage 1"][0]*li + lj)
    elif 0 == testGames["Team Winner"][i]:
        """Dire is home team"""
        pi = li/(Teamhg3["Draft Advantage 1"][0]*lj + li)        

    if pi >= 0.5 and result ==1:
        wins +=1
    elif pi < 0.5 and result ==0:
        wins +=1
print(wins)
test_accuracy4 = wins/len(testGames["Radiant"])
test_accuracy4

47
Out[56]:
0.4895833333333333
In [57]:
wins = 0
for i in range(len(testGames["Radiant"])-1):
    li = Teamhg4["Ranks"][index_dict[testGames["Radiant"][i]]]
    lj = Teamhg4["Ranks"][index_dict[testGames["Dire"][i]]]
    result = testGames["Winner"][i]
    if testGames["Team Winner 2"][i]== 1:
        """Radiant is winning team"""
        pi = Teamhg4["Draft Advantage 2"][0]*li/(Teamhg4["Draft Advantage 2"][0]*li + lj)
    elif 0 == testGames["Team Winner 2"][i]:
        """Dire is winning team"""
        pi = li/(Teamhg4["Draft Advantage 2"][0]*lj + li)        

    if pi >= 0.5 and result ==1:
        wins +=1
    elif pi < 0.5 and result ==0:
        wins +=1
print(wins)
test_accuracy5 = wins/len(testGames["Radiant"])
test_accuracy5

58
Out[57]:
0.6041666666666666
In [58]:
test2.sort_values(by=['Ranks'], inplace=True, ascending=False)
In [59]:
testTeamwin2
Out[59]:
array([0., 0., 0., 1., 0., 1., 0., 0., 0., 0., 0., 0., 1., 0., 0., 0., 1.,
       0., 1., 0., 0., 0., 1., 0., 0., 0., 0., 0., 0., 0., 0., 1., 0., 0.,
       0., 0., 0., 0., 0., 0., 0., 0., 0., 0., 0., 0., 1., 0., 1., 1., 0.,
       0., 0., 0., 0., 0., 1., 0., 0., 0., 0., 0., 0., 1., 0., 0., 1., 0.,
       1., 0., 0., 0., 0., 0., 1., 0., 1., 0., 0., 1., 0., 0., 0., 1., 1.,
       0., 0., 1., 1., 0., 1., 0., 1., 1., 0., 1.])
In [60]:
test_accuracy1
Out[60]:
0.5104166666666666
In [61]:
test4.sort_values(by=['Ranks'], inplace=True, ascending=False)

In [62]:
test4[:18]
Out[62]:
Teams Ranks
75 Winter Wyvern [2.9125007334122492]
18 Dark Seer [2.147074236489597]
21 Tinker [2.0473852065186655]
37 Windranger [2.026770413536992]
0 Io [1.9963013796061508]
102 Treant Protector [1.9939669002202651]
13 Chen [1.756651040412916]
14 Meepo [1.6565872624962308]
111 Night Stalker [1.6235947315356913]
78 Monkey King [1.602031121802458]
8 Templar Assassin [1.5878814862799928]
97 Slardar [1.529911393917902]
2 Abaddon [1.4212891456657923]
16 Faceless Void [1.3819261247874097]
40 Medusa [1.3682957813704135]
86 Skywrath Mage [1.3468661580904757]
6 Tidehunter [1.3409873276619968]
4 Gyrocopter [1.2940120134221111]
In [63]:
Teamhg4
Out[63]:
Teams Ranks Draft Advantage 2
0 OG 0.537519 1.26173
1 Team Liquid 0.274083 1.26173
2 PSG.LGD 0.282146 1.26173
3 Team Secret 0.632364 1.26173
4 Vici Gaming 0.563547 1.26173
5 Evil Geniuses 0.230781 1.26173
6 Royal Never Give Up 0.137700 1.26173
7 Infamous Gaming 0.282324 1.26173
8 Newbee 0.270302 1.26173
9 TNC Predator 0.312245 1.26173
10 Virtus.pro 0.133738 1.26173
11 Fnatic 0.424528 1.26173
12 Alliance 0.037992 1.26173
13 Mineski 0.423485 1.26173
14 Natus Vincere 0.361109 1.26173
15 Chaos Esports Club 0.033375 1.26173
16 KEEN GAMING 0.147571 1.26173
17 Ninjas in Pyjamas 0.056703 1.26173
In [64]:
test5.sort_values(by=['Ranks'], inplace=True, ascending=False)
In [65]:
test5[:18]
Out[65]:
Heroes Ranks
41 Ember Spirit 0.023769
51 Earthshaker 0.023092
69 Grimstroke 0.021431
1 Tiny 0.020281
43 Silencer 0.019167
5 Rubick 0.018819
48 Centaur Warrunner 0.018440
58 Kunkka 0.018382
2 Abaddon 0.017755
100 Lone Druid 0.017607
91 Pudge 0.016662
28 Alchemist 0.016517
52 Oracle 0.016416
13 Chen 0.016252
17 Shadow Fiend 0.016161
19 Sven 0.016012
65 Slark 0.015083
68 Beastmaster 0.015054
In [66]:
test_accuracy3
Out[66]:
0.5520833333333334
In [67]:
Teamhg
Out[67]:
Teams Ranks Radiant Advantage
0 OG 18.053787 0.915161
1 Team Liquid 15.822115 0.915161
14 Natus Vincere 15.641570 0.915161
3 Team Secret 13.610140 0.915161
4 Vici Gaming 13.523732 0.915161
2 PSG.LGD 11.035274 0.915161
13 Mineski 10.865921 0.915161
8 Newbee 10.634655 0.915161
6 Royal Never Give Up 9.441427 0.915161
5 Evil Geniuses 8.551742 0.915161
9 TNC Predator 8.062199 0.915161
11 Fnatic 7.491167 0.915161
7 Infamous Gaming 6.233234 0.915161
16 KEEN GAMING 5.833543 0.915161
10 Virtus.pro 4.816592 0.915161
17 Ninjas in Pyjamas 3.058589 0.915161
15 Chaos Esports Club 2.348975 0.915161
12 Alliance 1.000000 0.915161
In [72]:
Teamhg3
Out[72]:
Teams Ranks Draft Advantage 1
0 OG 2.013910 2.142735
1 Team Liquid 1.343531 2.142735
2 PSG.LGD 1.569671 2.142735
3 Team Secret 1.868233 2.142735
4 Vici Gaming 1.592119 2.142735
5 Evil Geniuses 1.278382 2.142735
6 Royal Never Give Up 1.182304 2.142735
7 Infamous Gaming 1.305086 2.142735
8 Newbee 1.379038 2.142735
9 TNC Predator 1.433063 2.142735
10 Virtus.pro 1.187189 2.142735
11 Fnatic 1.303137 2.142735
12 Alliance 1.035370 2.142735
13 Mineski 1.202711 2.142735
14 Natus Vincere 2.176091 2.142735
15 Chaos Esports Club 1.047717 2.142735
16 KEEN GAMING 1.266254 2.142735
17 Ninjas in Pyjamas 1.109520 2.142735
In [69]:
test_accuracy4
Out[69]:
0.4895833333333333
In [70]:
test_accuracy5
Out[70]:
0.6041666666666666
In [71]:
teamhg3

---------------------------------------------------------------------------
NameError                                 Traceback (most recent call last)
<ipython-input-71-e0d03c8bcd9d> in <module>
----> 1 teamhg3

NameError: name 'teamhg3' is not defined
In [ ]:
Teamhg3
In [ ]:
testGames
In [ ]:
testHeroes1
In [ ]:
Teamhg3

Need to do some testing against coin-flip

In [75]:
cointoss = []
for i in range(10000):
    wins = 0
    for i in testGames["Winner"]:
        if i == random.randint(0,1):
            wins+=1
    cointoss.append(wins)
In [76]:
np.mean(cointoss)/len(testGames["Winner"])
Out[76]:
0.499771875
In [77]:
sum(binWins)/len(binWins)
Out[77]:
0.46113989637305697
In [ ]:
teamhg
In [78]:
cointoss
Out[78]:
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In [79]:
test_accuracy1
Out[79]:
0.5104166666666666
In [80]:
test_accuracy2
Out[80]:
0.5
In [81]:
test_accuracy3
Out[81]:
0.5520833333333334
In [82]:
test_accuracy4
Out[82]:
0.4895833333333333
In [84]:
test_accuracy5
Out[84]:
0.6041666666666666
In [85]:
np.mean(cointoss)/len(testGames["Winner"])
Out[85]:
0.499771875
In [ ]: